What is the Least Common Multiple of 27972 and 27980?

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 27980 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 27980, than apply into the LCM equation.

GCF(27972,27980) = 4
LCM(27972,27980) = ( 27972 × 27980) / 4
LCM(27972,27980) = 782656560 / 4
LCM(27972,27980) = 195664140

Least Common Multiple (LCM) of 27972 and 27980 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27972 and 27980. First we will calculate the prime factors of 27972 and 27980.

Prime Factorization of 27972

Prime Factorization of 27980

Now multiplying the highest exponent prime factors to calculate the LCM of 27972 and 27980.

LCM(27972,27980) = 2² × 3³ × 7¹ × 37¹ × 5¹ × 1399¹
LCM(27972,27980) = 195664140