What is the Least Common Multiple of 20940 and 20958?

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 20958 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 20958, than apply into the LCM equation.

GCF(20940,20958) = 6
LCM(20940,20958) = ( 20940 × 20958) / 6
LCM(20940,20958) = 438860520 / 6
LCM(20940,20958) = 73143420

Least Common Multiple (LCM) of 20940 and 20958 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20940 and 20958. First we will calculate the prime factors of 20940 and 20958.

Prime Factorization of 20940

Prime Factorization of 20958

Now multiplying the highest exponent prime factors to calculate the LCM of 20940 and 20958.

LCM(20940,20958) = 2² × 3¹ × 5¹ × 349¹ × 7¹ × 499¹
LCM(20940,20958) = 73143420