What is the Least Common Multiple of 27105 and 27118?

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 27105 and 27118 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27105 and 27118, than apply into the LCM equation.

GCF(27105,27118) = 13
LCM(27105,27118) = ( 27105 × 27118) / 13
LCM(27105,27118) = 735033390 / 13
LCM(27105,27118) = 56541030

Least Common Multiple (LCM) of 27105 and 27118 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27105 and 27118. First we will calculate the prime factors of 27105 and 27118.

Prime Factorization of 27105

Prime Factorization of 27118

Now multiplying the highest exponent prime factors to calculate the LCM of 27105 and 27118.

LCM(27105,27118) = 3¹ × 5¹ × 13¹ × 139¹ × 2¹ × 7¹ × 149¹
LCM(27105,27118) = 56541030