What is the Least Common Multiple of 18670 and 18688?

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 18670 and 18688 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18670 and 18688, than apply into the LCM equation.

GCF(18670,18688) = 2
LCM(18670,18688) = ( 18670 × 18688) / 2
LCM(18670,18688) = 348904960 / 2
LCM(18670,18688) = 174452480

Least Common Multiple (LCM) of 18670 and 18688 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18670 and 18688. First we will calculate the prime factors of 18670 and 18688.

Prime Factorization of 18670

Prime Factorization of 18688

Now multiplying the highest exponent prime factors to calculate the LCM of 18670 and 18688.

LCM(18670,18688) = 2⁸ × 5¹ × 1867¹ × 73¹
LCM(18670,18688) = 174452480