What is the Least Common Multiple of 27130 and 27138?

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 27130 and 27138 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27130 and 27138, than apply into the LCM equation.

GCF(27130,27138) = 2
LCM(27130,27138) = ( 27130 × 27138) / 2
LCM(27130,27138) = 736253940 / 2
LCM(27130,27138) = 368126970

Least Common Multiple (LCM) of 27130 and 27138 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27130 and 27138. First we will calculate the prime factors of 27130 and 27138.

Prime Factorization of 27130

Prime Factorization of 27138

Now multiplying the highest exponent prime factors to calculate the LCM of 27130 and 27138.

LCM(27130,27138) = 2¹ × 5¹ × 2713¹ × 3¹ × 4523¹
LCM(27130,27138) = 368126970