What is the Least Common Multiple of 18278 and 18296?

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 18278 and 18296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18278 and 18296, than apply into the LCM equation.

GCF(18278,18296) = 2
LCM(18278,18296) = ( 18278 × 18296) / 2
LCM(18278,18296) = 334414288 / 2
LCM(18278,18296) = 167207144

Least Common Multiple (LCM) of 18278 and 18296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18278 and 18296. First we will calculate the prime factors of 18278 and 18296.

Prime Factorization of 18278

Prime Factorization of 18296

Now multiplying the highest exponent prime factors to calculate the LCM of 18278 and 18296.

LCM(18278,18296) = 2³ × 13¹ × 19¹ × 37¹ × 2287¹
LCM(18278,18296) = 167207144