What is the Least Common Multiple of 23520 and 23530?

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 23520 and 23530 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23520 and 23530, than apply into the LCM equation.

GCF(23520,23530) = 10
LCM(23520,23530) = ( 23520 × 23530) / 10
LCM(23520,23530) = 553425600 / 10
LCM(23520,23530) = 55342560

Least Common Multiple (LCM) of 23520 and 23530 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23520 and 23530. First we will calculate the prime factors of 23520 and 23530.

Prime Factorization of 23520

Prime Factorization of 23530

Now multiplying the highest exponent prime factors to calculate the LCM of 23520 and 23530.

LCM(23520,23530) = 2⁵ × 3¹ × 5¹ × 7² × 13¹ × 181¹
LCM(23520,23530) = 55342560