What is the Least Common Multiple of 15255 and 15261?

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 15261 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 15261, than apply into the LCM equation.

GCF(15255,15261) = 3
LCM(15255,15261) = ( 15255 × 15261) / 3
LCM(15255,15261) = 232806555 / 3
LCM(15255,15261) = 77602185

Least Common Multiple (LCM) of 15255 and 15261 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15255 and 15261. First we will calculate the prime factors of 15255 and 15261.

Prime Factorization of 15255

Prime Factorization of 15261

Now multiplying the highest exponent prime factors to calculate the LCM of 15255 and 15261.

LCM(15255,15261) = 3³ × 5¹ × 113¹ × 5087¹
LCM(15255,15261) = 77602185