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Method of Finding LCM

If a and b ar...

Question

If a and b are two prime numbers then find LCM(a, b).

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Solution

Prime factorization:
a = a
b = b

LCM = product of greatest power of each prime factor involved in the numbers = a × b

Thus, LCM(a, b) = ab.

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If a and b are two prime numbers then find LCM(a, b).

Q. Two positive integers a and b can be written as a = x³y² and b = xy³, where x and y are prime numbers. Find HCF(a, b) and LCM(a, b).

Q. If two positive integers m and n are expressible in the form m = a² b³ and n = a³b², where a, b are prime numbers, then HCF (m, n) = _______ and LCM (a, b) = _______.

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Q. a and b are two co-primes. Which of the following is/are true?
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(d) Neither (a) nor (b)

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