What is the Least Common Multiple of 27966 and 27972?

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 27966 and 27972 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27966 and 27972, than apply into the LCM equation.

GCF(27966,27972) = 6
LCM(27966,27972) = ( 27966 × 27972) / 6
LCM(27966,27972) = 782264952 / 6
LCM(27966,27972) = 130377492

Least Common Multiple (LCM) of 27966 and 27972 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27966 and 27972. First we will calculate the prime factors of 27966 and 27972.

Prime Factorization of 27966

Prime Factorization of 27972

Now multiplying the highest exponent prime factors to calculate the LCM of 27966 and 27972.

LCM(27966,27972) = 2² × 3³ × 59¹ × 79¹ × 7¹ × 37¹
LCM(27966,27972) = 130377492