What is the Least Common Multiple of 19278 and 19288?

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 19278 and 19288 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19278 and 19288, than apply into the LCM equation.

GCF(19278,19288) = 2
LCM(19278,19288) = ( 19278 × 19288) / 2
LCM(19278,19288) = 371834064 / 2
LCM(19278,19288) = 185917032

Least Common Multiple (LCM) of 19278 and 19288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19278 and 19288. First we will calculate the prime factors of 19278 and 19288.

Prime Factorization of 19278

Prime Factorization of 19288

Now multiplying the highest exponent prime factors to calculate the LCM of 19278 and 19288.

LCM(19278,19288) = 2³ × 3⁴ × 7¹ × 17¹ × 2411¹
LCM(19278,19288) = 185917032