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What is the Least Common Multiple of 63940 and 63951?

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 63940 and 63951 is 4089026940.

LCM(63940,63951) = 4089026940

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Least Common Multiple of 63940 and 63951 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63940 and 63951, than apply into the LCM equation.

GCF(63940,63951) = 1
LCM(63940,63951) = ( 63940 × 63951) / 1
LCM(63940,63951) = 4089026940 / 1
LCM(63940,63951) = 4089026940

Least Common Multiple (LCM) of 63940 and 63951 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63940 and 63951. First we will calculate the prime factors of 63940 and 63951.

Prime Factorization of 63940

Prime factors of 63940 are 2, 5, 23, 139. Prime factorization of 63940 in exponential form is:

63940 = 22 × 51 × 231 × 1391

Prime Factorization of 63951

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

63951 = 31 × 213171

Now multiplying the highest exponent prime factors to calculate the LCM of 63940 and 63951.

LCM(63940,63951) = 22 × 51 × 231 × 1391 × 31 × 213171
LCM(63940,63951) = 4089026940