What is the Least Common Multiple of 63744 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 of 63744 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 63744 and 63751, than apply into the LCM equation.

GCF(63744,63751) = 1
LCM(63744,63751) = ( 63744 × 63751) / 1
LCM(63744,63751) = 4063743744 / 1
LCM(63744,63751) = 4063743744

Least Common Multiple (LCM) of 63744 and 63751 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63744 and 63751. First we will calculate the prime factors of 63744 and 63751.

Prime Factorization of 63744

Prime Factorization of 63751

Now multiplying the highest exponent prime factors to calculate the LCM of 63744 and 63751.

LCM(63744,63751) = 2⁸ × 3¹ × 83¹ × 37¹ × 1723¹
LCM(63744,63751) = 4063743744