What is the Least Common Multiple of 58960 and 58971?

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 58960 and 58971 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58960 and 58971, than apply into the LCM equation.

GCF(58960,58971) = 11
LCM(58960,58971) = ( 58960 × 58971) / 11
LCM(58960,58971) = 3476930160 / 11
LCM(58960,58971) = 316084560

Least Common Multiple (LCM) of 58960 and 58971 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58960 and 58971. First we will calculate the prime factors of 58960 and 58971.

Prime Factorization of 58960

Prime Factorization of 58971

Now multiplying the highest exponent prime factors to calculate the LCM of 58960 and 58971.

LCM(58960,58971) = 2⁴ × 5¹ × 11¹ × 67¹ × 3¹ × 1787¹
LCM(58960,58971) = 316084560