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What is the Least Common Multiple of 61924 and 61932?

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 61924 and 61932 is 958769292.

LCM(61924,61932) = 958769292

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Least Common Multiple of 61924 and 61932 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61924 and 61932, than apply into the LCM equation.

GCF(61924,61932) = 4
LCM(61924,61932) = ( 61924 × 61932) / 4
LCM(61924,61932) = 3835077168 / 4
LCM(61924,61932) = 958769292

Least Common Multiple (LCM) of 61924 and 61932 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61924 and 61932. First we will calculate the prime factors of 61924 and 61932.

Prime Factorization of 61924

Prime factors of 61924 are 2, 113, 137. Prime factorization of 61924 in exponential form is:

61924 = 22 × 1131 × 1371

Prime Factorization of 61932

Prime factors of 61932 are 2, 3, 13, 397. Prime factorization of 61932 in exponential form is:

61932 = 22 × 31 × 131 × 3971

Now multiplying the highest exponent prime factors to calculate the LCM of 61924 and 61932.

LCM(61924,61932) = 22 × 1131 × 1371 × 31 × 131 × 3971
LCM(61924,61932) = 958769292