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What is the Least Common Multiple of 29921 and 29932?

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 29921 and 29932 is 895595372.

LCM(29921,29932) = 895595372

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Least Common Multiple of 29921 and 29932 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29921 and 29932, than apply into the LCM equation.

GCF(29921,29932) = 1
LCM(29921,29932) = ( 29921 × 29932) / 1
LCM(29921,29932) = 895595372 / 1
LCM(29921,29932) = 895595372

Least Common Multiple (LCM) of 29921 and 29932 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29921 and 29932. First we will calculate the prime factors of 29921 and 29932.

Prime Factorization of 29921

Prime factors of 29921 are 29921. Prime factorization of 29921 in exponential form is:

29921 = 299211

Prime Factorization of 29932

Prime factors of 29932 are 2, 7, 1069. Prime factorization of 29932 in exponential form is:

29932 = 22 × 71 × 10691

Now multiplying the highest exponent prime factors to calculate the LCM of 29921 and 29932.

LCM(29921,29932) = 299211 × 22 × 71 × 10691
LCM(29921,29932) = 895595372