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What is the Least Common Multiple of 63751 and 63759?

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 63751 and 63759 is 4064700009.

LCM(63751,63759) = 4064700009

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Least Common Multiple of 63751 and 63759 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63751 and 63759, than apply into the LCM equation.

GCF(63751,63759) = 1
LCM(63751,63759) = ( 63751 × 63759) / 1
LCM(63751,63759) = 4064700009 / 1
LCM(63751,63759) = 4064700009

Least Common Multiple (LCM) of 63751 and 63759 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63751 and 63759. First we will calculate the prime factors of 63751 and 63759.

Prime Factorization of 63751

Prime factors of 63751 are 37, 1723. Prime factorization of 63751 in exponential form is:

63751 = 371 × 17231

Prime Factorization of 63759

Prime factors of 63759 are 3, 53, 401. Prime factorization of 63759 in exponential form is:

63759 = 31 × 531 × 4011

Now multiplying the highest exponent prime factors to calculate the LCM of 63751 and 63759.

LCM(63751,63759) = 371 × 17231 × 31 × 531 × 4011
LCM(63751,63759) = 4064700009