What is the Least Common Multiple of 27060 and 27072?

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 27060 and 27072 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27060 and 27072, than apply into the LCM equation.

GCF(27060,27072) = 12
LCM(27060,27072) = ( 27060 × 27072) / 12
LCM(27060,27072) = 732568320 / 12
LCM(27060,27072) = 61047360

Least Common Multiple (LCM) of 27060 and 27072 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27060 and 27072. First we will calculate the prime factors of 27060 and 27072.

Prime Factorization of 27060

Prime Factorization of 27072

Now multiplying the highest exponent prime factors to calculate the LCM of 27060 and 27072.

LCM(27060,27072) = 2⁶ × 3² × 5¹ × 11¹ × 41¹ × 47¹
LCM(27060,27072) = 61047360