What is the Least Common Multiple of 27146 and 27152?

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 27146 and 27152 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27146 and 27152, than apply into the LCM equation.

GCF(27146,27152) = 2
LCM(27146,27152) = ( 27146 × 27152) / 2
LCM(27146,27152) = 737068192 / 2
LCM(27146,27152) = 368534096

Least Common Multiple (LCM) of 27146 and 27152 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27146 and 27152. First we will calculate the prime factors of 27146 and 27152.

Prime Factorization of 27146

Prime Factorization of 27152

Now multiplying the highest exponent prime factors to calculate the LCM of 27146 and 27152.

LCM(27146,27152) = 2⁴ × 7² × 277¹ × 1697¹
LCM(27146,27152) = 368534096