What is the Least Common Multiple of 15272 and 15278?

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 15272 and 15278 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15272 and 15278, than apply into the LCM equation.

GCF(15272,15278) = 2
LCM(15272,15278) = ( 15272 × 15278) / 2
LCM(15272,15278) = 233325616 / 2
LCM(15272,15278) = 116662808

Least Common Multiple (LCM) of 15272 and 15278 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15272 and 15278. First we will calculate the prime factors of 15272 and 15278.

Prime Factorization of 15272

Prime Factorization of 15278

Now multiplying the highest exponent prime factors to calculate the LCM of 15272 and 15278.

LCM(15272,15278) = 2³ × 23¹ × 83¹ × 7639¹
LCM(15272,15278) = 116662808