What is the Least Common Multiple of 27084 and 27102?

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 27084 and 27102 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27084 and 27102, than apply into the LCM equation.

GCF(27084,27102) = 6
LCM(27084,27102) = ( 27084 × 27102) / 6
LCM(27084,27102) = 734030568 / 6
LCM(27084,27102) = 122338428

Least Common Multiple (LCM) of 27084 and 27102 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27084 and 27102. First we will calculate the prime factors of 27084 and 27102.

Prime Factorization of 27084

Prime Factorization of 27102

Now multiplying the highest exponent prime factors to calculate the LCM of 27084 and 27102.

LCM(27084,27102) = 2² × 3¹ × 37¹ × 61¹ × 4517¹
LCM(27084,27102) = 122338428