What is the Least Common Multiple of 2940 and 2959?

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 2940 and 2959 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2940 and 2959, than apply into the LCM equation.

GCF(2940,2959) = 1
LCM(2940,2959) = ( 2940 × 2959) / 1
LCM(2940,2959) = 8699460 / 1
LCM(2940,2959) = 8699460

Least Common Multiple (LCM) of 2940 and 2959 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2940 and 2959. First we will calculate the prime factors of 2940 and 2959.

Prime Factorization of 2940

Prime Factorization of 2959

Now multiplying the highest exponent prime factors to calculate the LCM of 2940 and 2959.

LCM(2940,2959) = 2² × 3¹ × 5¹ × 7² × 11¹ × 269¹
LCM(2940,2959) = 8699460