What is the Least Common Multiple of 38664 and 38670?

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 38664 and 38670 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38664 and 38670, than apply into the LCM equation.

GCF(38664,38670) = 6
LCM(38664,38670) = ( 38664 × 38670) / 6
LCM(38664,38670) = 1495136880 / 6
LCM(38664,38670) = 249189480

Least Common Multiple (LCM) of 38664 and 38670 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38664 and 38670. First we will calculate the prime factors of 38664 and 38670.

Prime Factorization of 38664

Prime Factorization of 38670

Now multiplying the highest exponent prime factors to calculate the LCM of 38664 and 38670.

LCM(38664,38670) = 2³ × 3³ × 179¹ × 5¹ × 1289¹
LCM(38664,38670) = 249189480