What is the Least Common Multiple of 16464 and 16484?

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 16464 and 16484 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16464 and 16484, than apply into the LCM equation.

GCF(16464,16484) = 4
LCM(16464,16484) = ( 16464 × 16484) / 4
LCM(16464,16484) = 271392576 / 4
LCM(16464,16484) = 67848144

Least Common Multiple (LCM) of 16464 and 16484 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16464 and 16484. First we will calculate the prime factors of 16464 and 16484.

Prime Factorization of 16464

Prime Factorization of 16484

Now multiplying the highest exponent prime factors to calculate the LCM of 16464 and 16484.

LCM(16464,16484) = 2⁴ × 3¹ × 7³ × 13¹ × 317¹
LCM(16464,16484) = 67848144