What is the Least Common Multiple of 27972 and 27988?

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 27988 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 27988, than apply into the LCM equation.

GCF(27972,27988) = 4
LCM(27972,27988) = ( 27972 × 27988) / 4
LCM(27972,27988) = 782880336 / 4
LCM(27972,27988) = 195720084

Least Common Multiple (LCM) of 27972 and 27988 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27972 and 27988. First we will calculate the prime factors of 27972 and 27988.

Prime Factorization of 27972

Prime Factorization of 27988

Now multiplying the highest exponent prime factors to calculate the LCM of 27972 and 27988.

LCM(27972,27988) = 2² × 3³ × 7¹ × 37¹ × 6997¹
LCM(27972,27988) = 195720084