What is the Least Common Multiple of 58264 and 58272?

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 58264 and 58272 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58264 and 58272, than apply into the LCM equation.

GCF(58264,58272) = 8
LCM(58264,58272) = ( 58264 × 58272) / 8
LCM(58264,58272) = 3395159808 / 8
LCM(58264,58272) = 424394976

Least Common Multiple (LCM) of 58264 and 58272 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58264 and 58272. First we will calculate the prime factors of 58264 and 58272.

Prime Factorization of 58264

Prime Factorization of 58272

Now multiplying the highest exponent prime factors to calculate the LCM of 58264 and 58272.

LCM(58264,58272) = 2⁵ × 7283¹ × 3¹ × 607¹
LCM(58264,58272) = 424394976