What is the Least Common Multiple of 27102 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 27102 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 27102 and 27117, than apply into the LCM equation.

GCF(27102,27117) = 3
LCM(27102,27117) = ( 27102 × 27117) / 3
LCM(27102,27117) = 734924934 / 3
LCM(27102,27117) = 244974978

Least Common Multiple (LCM) of 27102 and 27117 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27102 and 27117. First we will calculate the prime factors of 27102 and 27117.

Prime Factorization of 27102

Prime Factorization of 27117

Now multiplying the highest exponent prime factors to calculate the LCM of 27102 and 27117.

LCM(27102,27117) = 2¹ × 3² × 4517¹ × 23¹ × 131¹
LCM(27102,27117) = 244974978