What is the Least Common Multiple of 15278 and 15294?

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 15278 and 15294 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15278 and 15294, than apply into the LCM equation.

GCF(15278,15294) = 2
LCM(15278,15294) = ( 15278 × 15294) / 2
LCM(15278,15294) = 233661732 / 2
LCM(15278,15294) = 116830866

Least Common Multiple (LCM) of 15278 and 15294 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15278 and 15294. First we will calculate the prime factors of 15278 and 15294.

Prime Factorization of 15278

Prime Factorization of 15294

Now multiplying the highest exponent prime factors to calculate the LCM of 15278 and 15294.

LCM(15278,15294) = 2¹ × 7639¹ × 3¹ × 2549¹
LCM(15278,15294) = 116830866