What is the Least Common Multiple of 56940 and 56949?

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 56940 and 56949 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56940 and 56949, than apply into the LCM equation.

GCF(56940,56949) = 3
LCM(56940,56949) = ( 56940 × 56949) / 3
LCM(56940,56949) = 3242676060 / 3
LCM(56940,56949) = 1080892020

Least Common Multiple (LCM) of 56940 and 56949 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56940 and 56949. First we will calculate the prime factors of 56940 and 56949.

Prime Factorization of 56940

Prime Factorization of 56949

Now multiplying the highest exponent prime factors to calculate the LCM of 56940 and 56949.

LCM(56940,56949) = 2² × 3¹ × 5¹ × 13¹ × 73¹ × 41¹ × 463¹
LCM(56940,56949) = 1080892020