What is the Least Common Multiple of 63712 and 63723?

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 63712 and 63723 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63712 and 63723, than apply into the LCM equation.

GCF(63712,63723) = 11
LCM(63712,63723) = ( 63712 × 63723) / 11
LCM(63712,63723) = 4059919776 / 11
LCM(63712,63723) = 369083616

Least Common Multiple (LCM) of 63712 and 63723 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63712 and 63723. First we will calculate the prime factors of 63712 and 63723.

Prime Factorization of 63712

Prime Factorization of 63723

Now multiplying the highest exponent prime factors to calculate the LCM of 63712 and 63723.

LCM(63712,63723) = 2⁵ × 11¹ × 181¹ × 3¹ × 1931¹
LCM(63712,63723) = 369083616