What is the Least Common Multiple of 58732 and 58739?

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 58732 and 58739 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58732 and 58739, than apply into the LCM equation.

GCF(58732,58739) = 1
LCM(58732,58739) = ( 58732 × 58739) / 1
LCM(58732,58739) = 3449858948 / 1
LCM(58732,58739) = 3449858948

Least Common Multiple (LCM) of 58732 and 58739 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58732 and 58739. First we will calculate the prime factors of 58732 and 58739.

Prime Factorization of 58732

Prime Factorization of 58739

Now multiplying the highest exponent prime factors to calculate the LCM of 58732 and 58739.

LCM(58732,58739) = 2² × 14683¹ × 151¹ × 389¹
LCM(58732,58739) = 3449858948