Find L.C.M. and H.C.F. of $72$ and $108$ by the prime factorization method.

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Solution

Applying prime factorisation method, we get
$72 = 2 \times 2 \times 2 \times 3 \times 3$
$108 = 2 \times 2 \times 3 \times 3 \times 3$

L.C.M is $216$ $(72 \times 3) (108 \times 2)$
H.C.F is $2 \times 2 \times 3 \times 3 = 36$

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Find L.C.M. and H.C.F. of 72 and 108 by the prime factorization method.

Applying prime factorisation method, we get72=2×2×2×3×3108=2×2×3×3×3L.C.M is 216 (72×3)(108×2)H.C.F is 2×2×3×3=36

Find L.C.M. and H.C.F. of $72$ and $108$ by the prime factorization method.

Applying prime factorisation method, we get
$72 = 2 \times 2 \times 2 \times 3 \times 3$
$108 = 2 \times 2 \times 3 \times 3 \times 3$

L.C.M is $216$ $(72 \times 3) (108 \times 2)$
H.C.F is $2 \times 2 \times 3 \times 3 = 36$