What is the Least Common Multiple of 58906 and 58920?

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 58906 and 58920 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58906 and 58920, than apply into the LCM equation.

GCF(58906,58920) = 2
LCM(58906,58920) = ( 58906 × 58920) / 2
LCM(58906,58920) = 3470741520 / 2
LCM(58906,58920) = 1735370760

Least Common Multiple (LCM) of 58906 and 58920 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58906 and 58920. First we will calculate the prime factors of 58906 and 58920.

Prime Factorization of 58906

Prime Factorization of 58920

Now multiplying the highest exponent prime factors to calculate the LCM of 58906 and 58920.

LCM(58906,58920) = 2³ × 29453¹ × 3¹ × 5¹ × 491¹
LCM(58906,58920) = 1735370760