What is the Least Common Multiple of 63739 and 63752?

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 63739 and 63752 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63739 and 63752, than apply into the LCM equation.

GCF(63739,63752) = 13
LCM(63739,63752) = ( 63739 × 63752) / 13
LCM(63739,63752) = 4063488728 / 13
LCM(63739,63752) = 312576056

Least Common Multiple (LCM) of 63739 and 63752 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63739 and 63752. First we will calculate the prime factors of 63739 and 63752.

Prime Factorization of 63739

Prime Factorization of 63752

Now multiplying the highest exponent prime factors to calculate the LCM of 63739 and 63752.

LCM(63739,63752) = 13¹ × 4903¹ × 2³ × 613¹
LCM(63739,63752) = 312576056