What is the Least Common Multiple of 18664 and 18670?

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 18664 and 18670 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18664 and 18670, than apply into the LCM equation.

GCF(18664,18670) = 2
LCM(18664,18670) = ( 18664 × 18670) / 2
LCM(18664,18670) = 348456880 / 2
LCM(18664,18670) = 174228440

Least Common Multiple (LCM) of 18664 and 18670 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18664 and 18670. First we will calculate the prime factors of 18664 and 18670.

Prime Factorization of 18664

Prime Factorization of 18670

Now multiplying the highest exponent prime factors to calculate the LCM of 18664 and 18670.

LCM(18664,18670) = 2³ × 2333¹ × 5¹ × 1867¹
LCM(18664,18670) = 174228440