What is the Least Common Multiple of 10428 and 10440?

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 10428 and 10440 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10428 and 10440, than apply into the LCM equation.

GCF(10428,10440) = 12
LCM(10428,10440) = ( 10428 × 10440) / 12
LCM(10428,10440) = 108868320 / 12
LCM(10428,10440) = 9072360

Least Common Multiple (LCM) of 10428 and 10440 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10428 and 10440. First we will calculate the prime factors of 10428 and 10440.

Prime Factorization of 10428

Prime Factorization of 10440

Now multiplying the highest exponent prime factors to calculate the LCM of 10428 and 10440.

LCM(10428,10440) = 2³ × 3² × 11¹ × 79¹ × 5¹ × 29¹
LCM(10428,10440) = 9072360