What is the Least Common Multiple of 38403 and 38408?

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 38403 and 38408 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38403 and 38408, than apply into the LCM equation.

GCF(38403,38408) = 1
LCM(38403,38408) = ( 38403 × 38408) / 1
LCM(38403,38408) = 1474982424 / 1
LCM(38403,38408) = 1474982424

Least Common Multiple (LCM) of 38403 and 38408 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38403 and 38408. First we will calculate the prime factors of 38403 and 38408.

Prime Factorization of 38403

Prime Factorization of 38408

Now multiplying the highest exponent prime factors to calculate the LCM of 38403 and 38408.

LCM(38403,38408) = 3² × 17¹ × 251¹ × 2³ × 4801¹
LCM(38403,38408) = 1474982424