What is the Least Common Multiple of 2874 and 2892?

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 2874 and 2892 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2874 and 2892, than apply into the LCM equation.

GCF(2874,2892) = 6
LCM(2874,2892) = ( 2874 × 2892) / 6
LCM(2874,2892) = 8311608 / 6
LCM(2874,2892) = 1385268

Least Common Multiple (LCM) of 2874 and 2892 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2874 and 2892. First we will calculate the prime factors of 2874 and 2892.

Prime Factorization of 2874

Prime Factorization of 2892

Now multiplying the highest exponent prime factors to calculate the LCM of 2874 and 2892.

LCM(2874,2892) = 2² × 3¹ × 479¹ × 241¹
LCM(2874,2892) = 1385268