What is the Least Common Multiple of 27596 and 27612?

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 27596 and 27612 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27596 and 27612, than apply into the LCM equation.

GCF(27596,27612) = 4
LCM(27596,27612) = ( 27596 × 27612) / 4
LCM(27596,27612) = 761980752 / 4
LCM(27596,27612) = 190495188

Least Common Multiple (LCM) of 27596 and 27612 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27596 and 27612. First we will calculate the prime factors of 27596 and 27612.

Prime Factorization of 27596

Prime Factorization of 27612

Now multiplying the highest exponent prime factors to calculate the LCM of 27596 and 27612.

LCM(27596,27612) = 2² × 6899¹ × 3² × 13¹ × 59¹
LCM(27596,27612) = 190495188