What is the Least Common Multiple of 15278 and 15290?

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 15290 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 15290, than apply into the LCM equation.

GCF(15278,15290) = 2
LCM(15278,15290) = ( 15278 × 15290) / 2
LCM(15278,15290) = 233600620 / 2
LCM(15278,15290) = 116800310

Least Common Multiple (LCM) of 15278 and 15290 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15278 and 15290. First we will calculate the prime factors of 15278 and 15290.

Prime Factorization of 15278

Prime Factorization of 15290

Now multiplying the highest exponent prime factors to calculate the LCM of 15278 and 15290.

LCM(15278,15290) = 2¹ × 7639¹ × 5¹ × 11¹ × 139¹
LCM(15278,15290) = 116800310