What is the Least Common Multiple of 20940 and 20957?

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 20940 and 20957 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20940 and 20957, than apply into the LCM equation.

GCF(20940,20957) = 1
LCM(20940,20957) = ( 20940 × 20957) / 1
LCM(20940,20957) = 438839580 / 1
LCM(20940,20957) = 438839580

Least Common Multiple (LCM) of 20940 and 20957 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20940 and 20957. First we will calculate the prime factors of 20940 and 20957.

Prime Factorization of 20940

Prime Factorization of 20957

Now multiplying the highest exponent prime factors to calculate the LCM of 20940 and 20957.

LCM(20940,20957) = 2² × 3¹ × 5¹ × 349¹ × 19¹ × 1103¹
LCM(20940,20957) = 438839580