What is the Least Common Multiple of 58416 and 58422?

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 58416 and 58422 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58416 and 58422, than apply into the LCM equation.

GCF(58416,58422) = 6
LCM(58416,58422) = ( 58416 × 58422) / 6
LCM(58416,58422) = 3412779552 / 6
LCM(58416,58422) = 568796592

Least Common Multiple (LCM) of 58416 and 58422 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58416 and 58422. First we will calculate the prime factors of 58416 and 58422.

Prime Factorization of 58416

Prime Factorization of 58422

Now multiplying the highest exponent prime factors to calculate the LCM of 58416 and 58422.

LCM(58416,58422) = 2⁴ × 3¹ × 1217¹ × 7¹ × 13¹ × 107¹
LCM(58416,58422) = 568796592