What is the Least Common Multiple of 2928 and 2940?

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 2928 and 2940 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2928 and 2940, than apply into the LCM equation.

GCF(2928,2940) = 12
LCM(2928,2940) = ( 2928 × 2940) / 12
LCM(2928,2940) = 8608320 / 12
LCM(2928,2940) = 717360

Least Common Multiple (LCM) of 2928 and 2940 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2928 and 2940. First we will calculate the prime factors of 2928 and 2940.

Prime Factorization of 2928

Prime Factorization of 2940

Now multiplying the highest exponent prime factors to calculate the LCM of 2928 and 2940.

LCM(2928,2940) = 2⁴ × 3¹ × 61¹ × 5¹ × 7²
LCM(2928,2940) = 717360