What is the Least Common Multiple of 15256 and 15274?

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 15256 and 15274 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15256 and 15274, than apply into the LCM equation.

GCF(15256,15274) = 2
LCM(15256,15274) = ( 15256 × 15274) / 2
LCM(15256,15274) = 233020144 / 2
LCM(15256,15274) = 116510072

Least Common Multiple (LCM) of 15256 and 15274 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15256 and 15274. First we will calculate the prime factors of 15256 and 15274.

Prime Factorization of 15256

Prime Factorization of 15274

Now multiplying the highest exponent prime factors to calculate the LCM of 15256 and 15274.

LCM(15256,15274) = 2³ × 1907¹ × 7¹ × 1091¹
LCM(15256,15274) = 116510072