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What is the Least Common Multiple of 63735 and 63751?

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 63735 and 63751 is 4063169985.

LCM(63735,63751) = 4063169985

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Least Common Multiple of 63735 and 63751 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63735 and 63751, than apply into the LCM equation.

GCF(63735,63751) = 1
LCM(63735,63751) = ( 63735 × 63751) / 1
LCM(63735,63751) = 4063169985 / 1
LCM(63735,63751) = 4063169985

Least Common Multiple (LCM) of 63735 and 63751 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63735 and 63751. First we will calculate the prime factors of 63735 and 63751.

Prime Factorization of 63735

Prime factors of 63735 are 3, 5, 7, 607. Prime factorization of 63735 in exponential form is:

63735 = 31 × 51 × 71 × 6071

Prime Factorization of 63751

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

63751 = 371 × 17231

Now multiplying the highest exponent prime factors to calculate the LCM of 63735 and 63751.

LCM(63735,63751) = 31 × 51 × 71 × 6071 × 371 × 17231
LCM(63735,63751) = 4063169985