What is the Least Common Multiple of 58620 and 58624?

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 58620 and 58624 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58620 and 58624, than apply into the LCM equation.

GCF(58620,58624) = 4
LCM(58620,58624) = ( 58620 × 58624) / 4
LCM(58620,58624) = 3436538880 / 4
LCM(58620,58624) = 859134720

Least Common Multiple (LCM) of 58620 and 58624 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58620 and 58624. First we will calculate the prime factors of 58620 and 58624.

Prime Factorization of 58620

Prime Factorization of 58624

Now multiplying the highest exponent prime factors to calculate the LCM of 58620 and 58624.

LCM(58620,58624) = 2⁸ × 3¹ × 5¹ × 977¹ × 229¹
LCM(58620,58624) = 859134720