What is the Least Common Multiple of 19464 and 19470?

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 19464 and 19470 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19464 and 19470, than apply into the LCM equation.

GCF(19464,19470) = 6
LCM(19464,19470) = ( 19464 × 19470) / 6
LCM(19464,19470) = 378964080 / 6
LCM(19464,19470) = 63160680

Least Common Multiple (LCM) of 19464 and 19470 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19464 and 19470. First we will calculate the prime factors of 19464 and 19470.

Prime Factorization of 19464

Prime Factorization of 19470

Now multiplying the highest exponent prime factors to calculate the LCM of 19464 and 19470.

LCM(19464,19470) = 2³ × 3¹ × 811¹ × 5¹ × 11¹ × 59¹
LCM(19464,19470) = 63160680