What is the Least Common Multiple of 15255 and 15273?

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 15255 and 15273 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15255 and 15273, than apply into the LCM equation.

GCF(15255,15273) = 9
LCM(15255,15273) = ( 15255 × 15273) / 9
LCM(15255,15273) = 232989615 / 9
LCM(15255,15273) = 25887735

Least Common Multiple (LCM) of 15255 and 15273 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15255 and 15273. First we will calculate the prime factors of 15255 and 15273.

Prime Factorization of 15255

Prime Factorization of 15273

Now multiplying the highest exponent prime factors to calculate the LCM of 15255 and 15273.

LCM(15255,15273) = 3³ × 5¹ × 113¹ × 1697¹
LCM(15255,15273) = 25887735