What is the Least Common Multiple of 7966 and 7972?

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 7966 and 7972 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7966 and 7972, than apply into the LCM equation.

GCF(7966,7972) = 2
LCM(7966,7972) = ( 7966 × 7972) / 2
LCM(7966,7972) = 63504952 / 2
LCM(7966,7972) = 31752476

Least Common Multiple (LCM) of 7966 and 7972 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7966 and 7972. First we will calculate the prime factors of 7966 and 7972.

Prime Factorization of 7966

Prime Factorization of 7972

Now multiplying the highest exponent prime factors to calculate the LCM of 7966 and 7972.

LCM(7966,7972) = 2² × 7¹ × 569¹ × 1993¹
LCM(7966,7972) = 31752476