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What is the Least Common Multiple of 29962 and 29976?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 29962 and 29976 is 449070456.

LCM(29962,29976) = 449070456

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Least Common Multiple of 29962 and 29976 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29962 and 29976, than apply into the LCM equation.

GCF(29962,29976) = 2
LCM(29962,29976) = ( 29962 × 29976) / 2
LCM(29962,29976) = 898140912 / 2
LCM(29962,29976) = 449070456

Least Common Multiple (LCM) of 29962 and 29976 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29962 and 29976. First we will calculate the prime factors of 29962 and 29976.

Prime Factorization of 29962

Prime factors of 29962 are 2, 71, 211. Prime factorization of 29962 in exponential form is:

29962 = 21 × 711 × 2111

Prime Factorization of 29976

Prime factors of 29976 are 2, 3, 1249. Prime factorization of 29976 in exponential form is:

29976 = 23 × 31 × 12491

Now multiplying the highest exponent prime factors to calculate the LCM of 29962 and 29976.

LCM(29962,29976) = 23 × 711 × 2111 × 31 × 12491
LCM(29962,29976) = 449070456