What is the Least Common Multiple of 58932 and 58941?

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 58932 and 58941 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58932 and 58941, than apply into the LCM equation.

GCF(58932,58941) = 9
LCM(58932,58941) = ( 58932 × 58941) / 9
LCM(58932,58941) = 3473511012 / 9
LCM(58932,58941) = 385945668

Least Common Multiple (LCM) of 58932 and 58941 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58932 and 58941. First we will calculate the prime factors of 58932 and 58941.

Prime Factorization of 58932

Prime Factorization of 58941

Now multiplying the highest exponent prime factors to calculate the LCM of 58932 and 58941.

LCM(58932,58941) = 2² × 3³ × 1637¹ × 37¹ × 59¹
LCM(58932,58941) = 385945668