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What is the Least Common Multiple of 63959 and 63976?

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 63959 and 63976 is 4091840984.

LCM(63959,63976) = 4091840984

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Least Common Multiple of 63959 and 63976 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63959 and 63976, than apply into the LCM equation.

GCF(63959,63976) = 1
LCM(63959,63976) = ( 63959 × 63976) / 1
LCM(63959,63976) = 4091840984 / 1
LCM(63959,63976) = 4091840984

Least Common Multiple (LCM) of 63959 and 63976 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63959 and 63976. First we will calculate the prime factors of 63959 and 63976.

Prime Factorization of 63959

Prime factors of 63959 are 7, 9137. Prime factorization of 63959 in exponential form is:

63959 = 71 × 91371

Prime Factorization of 63976

Prime factors of 63976 are 2, 11, 727. Prime factorization of 63976 in exponential form is:

63976 = 23 × 111 × 7271

Now multiplying the highest exponent prime factors to calculate the LCM of 63959 and 63976.

LCM(63959,63976) = 71 × 91371 × 23 × 111 × 7271
LCM(63959,63976) = 4091840984