What is the Least Common Multiple of 38472 and 38485?

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 38472 and 38485 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38472 and 38485, than apply into the LCM equation.

GCF(38472,38485) = 1
LCM(38472,38485) = ( 38472 × 38485) / 1
LCM(38472,38485) = 1480594920 / 1
LCM(38472,38485) = 1480594920

Least Common Multiple (LCM) of 38472 and 38485 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38472 and 38485. First we will calculate the prime factors of 38472 and 38485.

Prime Factorization of 38472

Prime Factorization of 38485

Now multiplying the highest exponent prime factors to calculate the LCM of 38472 and 38485.

LCM(38472,38485) = 2³ × 3¹ × 7¹ × 229¹ × 5¹ × 43¹ × 179¹
LCM(38472,38485) = 1480594920