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What is the Least Common Multiple of 63929 and 63944?

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 63929 and 63944 is 4087875976.

LCM(63929,63944) = 4087875976

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Least Common Multiple of 63929 and 63944 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63929 and 63944, than apply into the LCM equation.

GCF(63929,63944) = 1
LCM(63929,63944) = ( 63929 × 63944) / 1
LCM(63929,63944) = 4087875976 / 1
LCM(63929,63944) = 4087875976

Least Common Multiple (LCM) of 63929 and 63944 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63929 and 63944. First we will calculate the prime factors of 63929 and 63944.

Prime Factorization of 63929

Prime factors of 63929 are 63929. Prime factorization of 63929 in exponential form is:

63929 = 639291

Prime Factorization of 63944

Prime factors of 63944 are 2, 7993. Prime factorization of 63944 in exponential form is:

63944 = 23 × 79931

Now multiplying the highest exponent prime factors to calculate the LCM of 63929 and 63944.

LCM(63929,63944) = 639291 × 23 × 79931
LCM(63929,63944) = 4087875976