What is the Least Common Multiple of 18688 and 18704?

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 18688 and 18704 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18688 and 18704, than apply into the LCM equation.

GCF(18688,18704) = 16
LCM(18688,18704) = ( 18688 × 18704) / 16
LCM(18688,18704) = 349540352 / 16
LCM(18688,18704) = 21846272

Least Common Multiple (LCM) of 18688 and 18704 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18688 and 18704. First we will calculate the prime factors of 18688 and 18704.

Prime Factorization of 18688

Prime Factorization of 18704

Now multiplying the highest exponent prime factors to calculate the LCM of 18688 and 18704.

LCM(18688,18704) = 2⁸ × 73¹ × 7¹ × 167¹
LCM(18688,18704) = 21846272