What is the Least Common Multiple of 58920 and 58928?

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 58920 and 58928 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58920 and 58928, than apply into the LCM equation.

GCF(58920,58928) = 8
LCM(58920,58928) = ( 58920 × 58928) / 8
LCM(58920,58928) = 3472037760 / 8
LCM(58920,58928) = 434004720

Least Common Multiple (LCM) of 58920 and 58928 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58920 and 58928. First we will calculate the prime factors of 58920 and 58928.

Prime Factorization of 58920

Prime Factorization of 58928

Now multiplying the highest exponent prime factors to calculate the LCM of 58920 and 58928.

LCM(58920,58928) = 2⁴ × 3¹ × 5¹ × 491¹ × 29¹ × 127¹
LCM(58920,58928) = 434004720