What is the Least Common Multiple of 59568 and 59576?

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 59568 and 59576 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59568 and 59576, than apply into the LCM equation.

GCF(59568,59576) = 8
LCM(59568,59576) = ( 59568 × 59576) / 8
LCM(59568,59576) = 3548823168 / 8
LCM(59568,59576) = 443602896

Least Common Multiple (LCM) of 59568 and 59576 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59568 and 59576. First we will calculate the prime factors of 59568 and 59576.

Prime Factorization of 59568

Prime Factorization of 59576

Now multiplying the highest exponent prime factors to calculate the LCM of 59568 and 59576.

LCM(59568,59576) = 2⁴ × 3¹ × 17¹ × 73¹ × 11¹ × 677¹
LCM(59568,59576) = 443602896