What is the Least Common Multiple of 58605 and 58620?

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 58605 and 58620 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58605 and 58620, than apply into the LCM equation.

GCF(58605,58620) = 15
LCM(58605,58620) = ( 58605 × 58620) / 15
LCM(58605,58620) = 3435425100 / 15
LCM(58605,58620) = 229028340

Least Common Multiple (LCM) of 58605 and 58620 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58605 and 58620. First we will calculate the prime factors of 58605 and 58620.

Prime Factorization of 58605

Prime Factorization of 58620

Now multiplying the highest exponent prime factors to calculate the LCM of 58605 and 58620.

LCM(58605,58620) = 3¹ × 5¹ × 3907¹ × 2² × 977¹
LCM(58605,58620) = 229028340