What is the Least Common Multiple of 2940 and 2958?

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 2958 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 2958, than apply into the LCM equation.

GCF(2940,2958) = 6
LCM(2940,2958) = ( 2940 × 2958) / 6
LCM(2940,2958) = 8696520 / 6
LCM(2940,2958) = 1449420

Least Common Multiple (LCM) of 2940 and 2958 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2940 and 2958. First we will calculate the prime factors of 2940 and 2958.

Prime Factorization of 2940

Prime Factorization of 2958

Now multiplying the highest exponent prime factors to calculate the LCM of 2940 and 2958.

LCM(2940,2958) = 2² × 3¹ × 5¹ × 7² × 17¹ × 29¹
LCM(2940,2958) = 1449420