What is the Least Common Multiple of 19478 and 19488?

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 19478 and 19488 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19478 and 19488, than apply into the LCM equation.

GCF(19478,19488) = 2
LCM(19478,19488) = ( 19478 × 19488) / 2
LCM(19478,19488) = 379587264 / 2
LCM(19478,19488) = 189793632

Least Common Multiple (LCM) of 19478 and 19488 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19478 and 19488. First we will calculate the prime factors of 19478 and 19488.

Prime Factorization of 19478

Prime Factorization of 19488

Now multiplying the highest exponent prime factors to calculate the LCM of 19478 and 19488.

LCM(19478,19488) = 2⁵ × 9739¹ × 3¹ × 7¹ × 29¹
LCM(19478,19488) = 189793632