What is the Least Common Multiple of 27105 and 27117?

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 27117 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 27117, than apply into the LCM equation.

GCF(27105,27117) = 3
LCM(27105,27117) = ( 27105 × 27117) / 3
LCM(27105,27117) = 735006285 / 3
LCM(27105,27117) = 245002095

Least Common Multiple (LCM) of 27105 and 27117 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27105 and 27117. First we will calculate the prime factors of 27105 and 27117.

Prime Factorization of 27105

Prime Factorization of 27117

Now multiplying the highest exponent prime factors to calculate the LCM of 27105 and 27117.

LCM(27105,27117) = 3² × 5¹ × 13¹ × 139¹ × 23¹ × 131¹
LCM(27105,27117) = 245002095