What is the Least Common Multiple of 2931 and 2942?

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 2931 and 2942 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2931 and 2942, than apply into the LCM equation.

GCF(2931,2942) = 1
LCM(2931,2942) = ( 2931 × 2942) / 1
LCM(2931,2942) = 8623002 / 1
LCM(2931,2942) = 8623002

Least Common Multiple (LCM) of 2931 and 2942 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2931 and 2942. First we will calculate the prime factors of 2931 and 2942.

Prime Factorization of 2931

Prime Factorization of 2942

Now multiplying the highest exponent prime factors to calculate the LCM of 2931 and 2942.

LCM(2931,2942) = 3¹ × 977¹ × 2¹ × 1471¹
LCM(2931,2942) = 8623002