What is the Least Common Multiple of 38475 and 38480?

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 38475 and 38480 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38475 and 38480, than apply into the LCM equation.

GCF(38475,38480) = 5
LCM(38475,38480) = ( 38475 × 38480) / 5
LCM(38475,38480) = 1480518000 / 5
LCM(38475,38480) = 296103600

Least Common Multiple (LCM) of 38475 and 38480 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38475 and 38480. First we will calculate the prime factors of 38475 and 38480.

Prime Factorization of 38475

Prime Factorization of 38480

Now multiplying the highest exponent prime factors to calculate the LCM of 38475 and 38480.

LCM(38475,38480) = 3⁴ × 5² × 19¹ × 2⁴ × 13¹ × 37¹
LCM(38475,38480) = 296103600