What is the Least Common Multiple of 58410 and 58428?

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 58410 and 58428 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58410 and 58428, than apply into the LCM equation.

GCF(58410,58428) = 18
LCM(58410,58428) = ( 58410 × 58428) / 18
LCM(58410,58428) = 3412779480 / 18
LCM(58410,58428) = 189598860

Least Common Multiple (LCM) of 58410 and 58428 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58410 and 58428. First we will calculate the prime factors of 58410 and 58428.

Prime Factorization of 58410

Prime Factorization of 58428

Now multiplying the highest exponent prime factors to calculate the LCM of 58410 and 58428.

LCM(58410,58428) = 2² × 3³ × 5¹ × 11¹ × 59¹ × 541¹
LCM(58410,58428) = 189598860