What is the Least Common Multiple of 7944 and 7956?

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 7944 and 7956 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7944 and 7956, than apply into the LCM equation.

GCF(7944,7956) = 12
LCM(7944,7956) = ( 7944 × 7956) / 12
LCM(7944,7956) = 63202464 / 12
LCM(7944,7956) = 5266872

Least Common Multiple (LCM) of 7944 and 7956 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7944 and 7956. First we will calculate the prime factors of 7944 and 7956.

Prime Factorization of 7944

Prime Factorization of 7956

Now multiplying the highest exponent prime factors to calculate the LCM of 7944 and 7956.

LCM(7944,7956) = 2³ × 3² × 331¹ × 13¹ × 17¹
LCM(7944,7956) = 5266872