What is the Least Common Multiple of 7941 and 7959?

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 7941 and 7959 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7941 and 7959, than apply into the LCM equation.

GCF(7941,7959) = 3
LCM(7941,7959) = ( 7941 × 7959) / 3
LCM(7941,7959) = 63202419 / 3
LCM(7941,7959) = 21067473

Least Common Multiple (LCM) of 7941 and 7959 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7941 and 7959. First we will calculate the prime factors of 7941 and 7959.

Prime Factorization of 7941

Prime Factorization of 7959

Now multiplying the highest exponent prime factors to calculate the LCM of 7941 and 7959.

LCM(7941,7959) = 3¹ × 2647¹ × 7¹ × 379¹
LCM(7941,7959) = 21067473