What is the Least Common Multiple of 58440 and 58458?

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 58440 and 58458 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58440 and 58458, than apply into the LCM equation.

GCF(58440,58458) = 6
LCM(58440,58458) = ( 58440 × 58458) / 6
LCM(58440,58458) = 3416285520 / 6
LCM(58440,58458) = 569380920

Least Common Multiple (LCM) of 58440 and 58458 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58440 and 58458. First we will calculate the prime factors of 58440 and 58458.

Prime Factorization of 58440

Prime Factorization of 58458

Now multiplying the highest exponent prime factors to calculate the LCM of 58440 and 58458.

LCM(58440,58458) = 2³ × 3¹ × 5¹ × 487¹ × 9743¹
LCM(58440,58458) = 569380920