What is the Least Common Multiple of 64752 and 64772?

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 64752 and 64772 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64752 and 64772, than apply into the LCM equation.

GCF(64752,64772) = 4
LCM(64752,64772) = ( 64752 × 64772) / 4
LCM(64752,64772) = 4194116544 / 4
LCM(64752,64772) = 1048529136

Least Common Multiple (LCM) of 64752 and 64772 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64752 and 64772. First we will calculate the prime factors of 64752 and 64772.

Prime Factorization of 64752

Prime Factorization of 64772

Now multiplying the highest exponent prime factors to calculate the LCM of 64752 and 64772.

LCM(64752,64772) = 2⁴ × 3¹ × 19¹ × 71¹ × 16193¹
LCM(64752,64772) = 1048529136