What is the Least Common Multiple of 58528 and 58548?

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 58528 and 58548 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58528 and 58548, than apply into the LCM equation.

GCF(58528,58548) = 4
LCM(58528,58548) = ( 58528 × 58548) / 4
LCM(58528,58548) = 3426697344 / 4
LCM(58528,58548) = 856674336

Least Common Multiple (LCM) of 58528 and 58548 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58528 and 58548. First we will calculate the prime factors of 58528 and 58548.

Prime Factorization of 58528

Prime Factorization of 58548

Now multiplying the highest exponent prime factors to calculate the LCM of 58528 and 58548.

LCM(58528,58548) = 2⁵ × 31¹ × 59¹ × 3¹ × 7¹ × 17¹ × 41¹
LCM(58528,58548) = 856674336