What is the Least Common Multiple of 18744 and 18764?

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 18744 and 18764 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18744 and 18764, than apply into the LCM equation.

GCF(18744,18764) = 4
LCM(18744,18764) = ( 18744 × 18764) / 4
LCM(18744,18764) = 351712416 / 4
LCM(18744,18764) = 87928104

Least Common Multiple (LCM) of 18744 and 18764 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18744 and 18764. First we will calculate the prime factors of 18744 and 18764.

Prime Factorization of 18744

Prime Factorization of 18764

Now multiplying the highest exponent prime factors to calculate the LCM of 18744 and 18764.

LCM(18744,18764) = 2³ × 3¹ × 11¹ × 71¹ × 4691¹
LCM(18744,18764) = 87928104