What is the Least Common Multiple of 21120 and 21130?

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 21120 and 21130 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21120 and 21130, than apply into the LCM equation.

GCF(21120,21130) = 10
LCM(21120,21130) = ( 21120 × 21130) / 10
LCM(21120,21130) = 446265600 / 10
LCM(21120,21130) = 44626560

Least Common Multiple (LCM) of 21120 and 21130 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21120 and 21130. First we will calculate the prime factors of 21120 and 21130.

Prime Factorization of 21120

Prime Factorization of 21130

Now multiplying the highest exponent prime factors to calculate the LCM of 21120 and 21130.

LCM(21120,21130) = 2⁷ × 3¹ × 5¹ × 11¹ × 2113¹
LCM(21120,21130) = 44626560