What is the Least Common Multiple of 58620 and 58632?

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 58632 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 58632, than apply into the LCM equation.

GCF(58620,58632) = 12
LCM(58620,58632) = ( 58620 × 58632) / 12
LCM(58620,58632) = 3437007840 / 12
LCM(58620,58632) = 286417320

Least Common Multiple (LCM) of 58620 and 58632 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58620 and 58632. First we will calculate the prime factors of 58620 and 58632.

Prime Factorization of 58620

Prime Factorization of 58632

Now multiplying the highest exponent prime factors to calculate the LCM of 58620 and 58632.

LCM(58620,58632) = 2³ × 3¹ × 5¹ × 977¹ × 7¹ × 349¹
LCM(58620,58632) = 286417320