What is the Least Common Multiple of 59408 and 59428?

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 59408 and 59428 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59408 and 59428, than apply into the LCM equation.

GCF(59408,59428) = 4
LCM(59408,59428) = ( 59408 × 59428) / 4
LCM(59408,59428) = 3530498624 / 4
LCM(59408,59428) = 882624656

Least Common Multiple (LCM) of 59408 and 59428 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59408 and 59428. First we will calculate the prime factors of 59408 and 59428.

Prime Factorization of 59408

Prime Factorization of 59428

Now multiplying the highest exponent prime factors to calculate the LCM of 59408 and 59428.

LCM(59408,59428) = 2⁴ × 47¹ × 79¹ × 83¹ × 179¹
LCM(59408,59428) = 882624656