What is the Least Common Multiple of 23278 and 23288?

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 23278 and 23288 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23278 and 23288, than apply into the LCM equation.

GCF(23278,23288) = 2
LCM(23278,23288) = ( 23278 × 23288) / 2
LCM(23278,23288) = 542098064 / 2
LCM(23278,23288) = 271049032

Least Common Multiple (LCM) of 23278 and 23288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23278 and 23288. First we will calculate the prime factors of 23278 and 23288.

Prime Factorization of 23278

Prime Factorization of 23288

Now multiplying the highest exponent prime factors to calculate the LCM of 23278 and 23288.

LCM(23278,23288) = 2³ × 103¹ × 113¹ × 41¹ × 71¹
LCM(23278,23288) = 271049032