What is the Least Common Multiple of 58838 and 58852?

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 58838 and 58852 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58838 and 58852, than apply into the LCM equation.

GCF(58838,58852) = 2
LCM(58838,58852) = ( 58838 × 58852) / 2
LCM(58838,58852) = 3462733976 / 2
LCM(58838,58852) = 1731366988

Least Common Multiple (LCM) of 58838 and 58852 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58838 and 58852. First we will calculate the prime factors of 58838 and 58852.

Prime Factorization of 58838

Prime Factorization of 58852

Now multiplying the highest exponent prime factors to calculate the LCM of 58838 and 58852.

LCM(58838,58852) = 2² × 13¹ × 31¹ × 73¹ × 14713¹
LCM(58838,58852) = 1731366988