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What is the Least Common Multiple of 63976 and 63985?

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 63976 and 63985 is 4093504360.

LCM(63976,63985) = 4093504360

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Least Common Multiple of 63976 and 63985 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63976 and 63985, than apply into the LCM equation.

GCF(63976,63985) = 1
LCM(63976,63985) = ( 63976 × 63985) / 1
LCM(63976,63985) = 4093504360 / 1
LCM(63976,63985) = 4093504360

Least Common Multiple (LCM) of 63976 and 63985 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63976 and 63985. First we will calculate the prime factors of 63976 and 63985.

Prime Factorization of 63976

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

63976 = 23 × 111 × 7271

Prime Factorization of 63985

Prime factors of 63985 are 5, 67, 191. Prime factorization of 63985 in exponential form is:

63985 = 51 × 671 × 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 63976 and 63985.

LCM(63976,63985) = 23 × 111 × 7271 × 51 × 671 × 1911
LCM(63976,63985) = 4093504360