What is the Least Common Multiple of 27101 and 27114?

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 27101 and 27114 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27101 and 27114, than apply into the LCM equation.

GCF(27101,27114) = 1
LCM(27101,27114) = ( 27101 × 27114) / 1
LCM(27101,27114) = 734816514 / 1
LCM(27101,27114) = 734816514

Least Common Multiple (LCM) of 27101 and 27114 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27101 and 27114. First we will calculate the prime factors of 27101 and 27114.

Prime Factorization of 27101

Prime Factorization of 27114

Now multiplying the highest exponent prime factors to calculate the LCM of 27101 and 27114.

LCM(27101,27114) = 41¹ × 661¹ × 2¹ × 3¹ × 4519¹
LCM(27101,27114) = 734816514