What is the Least Common Multiple of 21940 and 21958?

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 21940 and 21958 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21940 and 21958, than apply into the LCM equation.

GCF(21940,21958) = 2
LCM(21940,21958) = ( 21940 × 21958) / 2
LCM(21940,21958) = 481758520 / 2
LCM(21940,21958) = 240879260

Least Common Multiple (LCM) of 21940 and 21958 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21940 and 21958. First we will calculate the prime factors of 21940 and 21958.

Prime Factorization of 21940

Prime Factorization of 21958

Now multiplying the highest exponent prime factors to calculate the LCM of 21940 and 21958.

LCM(21940,21958) = 2² × 5¹ × 1097¹ × 10979¹
LCM(21940,21958) = 240879260