What is the Least Common Multiple of 27972 and 27990?

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 27972 and 27990 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27972 and 27990, than apply into the LCM equation.

GCF(27972,27990) = 18
LCM(27972,27990) = ( 27972 × 27990) / 18
LCM(27972,27990) = 782936280 / 18
LCM(27972,27990) = 43496460

Least Common Multiple (LCM) of 27972 and 27990 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27972 and 27990. First we will calculate the prime factors of 27972 and 27990.

Prime Factorization of 27972

Prime Factorization of 27990

Now multiplying the highest exponent prime factors to calculate the LCM of 27972 and 27990.

LCM(27972,27990) = 2² × 3³ × 7¹ × 37¹ × 5¹ × 311¹
LCM(27972,27990) = 43496460