What is the Least Common Multiple of 27084 and 27097?

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 27097 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 27097, than apply into the LCM equation.

GCF(27084,27097) = 1
LCM(27084,27097) = ( 27084 × 27097) / 1
LCM(27084,27097) = 733895148 / 1
LCM(27084,27097) = 733895148

Least Common Multiple (LCM) of 27084 and 27097 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27084 and 27097. First we will calculate the prime factors of 27084 and 27097.

Prime Factorization of 27084

Prime Factorization of 27097

Now multiplying the highest exponent prime factors to calculate the LCM of 27084 and 27097.

LCM(27084,27097) = 2² × 3¹ × 37¹ × 61¹ × 7³ × 79¹
LCM(27084,27097) = 733895148