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What is the Least Common Multiple of 63951 and 63962?

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 63951 and 63962 is 4090433862.

LCM(63951,63962) = 4090433862

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Least Common Multiple of 63951 and 63962 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63951 and 63962, than apply into the LCM equation.

GCF(63951,63962) = 1
LCM(63951,63962) = ( 63951 × 63962) / 1
LCM(63951,63962) = 4090433862 / 1
LCM(63951,63962) = 4090433862

Least Common Multiple (LCM) of 63951 and 63962 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63951 and 63962. First we will calculate the prime factors of 63951 and 63962.

Prime Factorization of 63951

Prime factors of 63951 are 3, 21317. Prime factorization of 63951 in exponential form is:

63951 = 31 × 213171

Prime Factorization of 63962

Prime factors of 63962 are 2, 31981. Prime factorization of 63962 in exponential form is:

63962 = 21 × 319811

Now multiplying the highest exponent prime factors to calculate the LCM of 63951 and 63962.

LCM(63951,63962) = 31 × 213171 × 21 × 319811
LCM(63951,63962) = 4090433862