What is the Least Common Multiple of 27012 and 27030?

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 27012 and 27030 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27012 and 27030, than apply into the LCM equation.

GCF(27012,27030) = 6
LCM(27012,27030) = ( 27012 × 27030) / 6
LCM(27012,27030) = 730134360 / 6
LCM(27012,27030) = 121689060

Least Common Multiple (LCM) of 27012 and 27030 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27012 and 27030. First we will calculate the prime factors of 27012 and 27030.

Prime Factorization of 27012

Prime Factorization of 27030

Now multiplying the highest exponent prime factors to calculate the LCM of 27012 and 27030.

LCM(27012,27030) = 2² × 3¹ × 2251¹ × 5¹ × 17¹ × 53¹
LCM(27012,27030) = 121689060