What is the Least Common Multiple of 64752 and 64760?

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 64760 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 64760, than apply into the LCM equation.

GCF(64752,64760) = 8
LCM(64752,64760) = ( 64752 × 64760) / 8
LCM(64752,64760) = 4193339520 / 8
LCM(64752,64760) = 524167440

Least Common Multiple (LCM) of 64752 and 64760 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64752 and 64760. First we will calculate the prime factors of 64752 and 64760.

Prime Factorization of 64752

Prime Factorization of 64760

Now multiplying the highest exponent prime factors to calculate the LCM of 64752 and 64760.

LCM(64752,64760) = 2⁴ × 3¹ × 19¹ × 71¹ × 5¹ × 1619¹
LCM(64752,64760) = 524167440