What is the Least Common Multiple of 38385 and 38401?

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 38385 and 38401 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38385 and 38401, than apply into the LCM equation.

GCF(38385,38401) = 1
LCM(38385,38401) = ( 38385 × 38401) / 1
LCM(38385,38401) = 1474022385 / 1
LCM(38385,38401) = 1474022385

Least Common Multiple (LCM) of 38385 and 38401 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38385 and 38401. First we will calculate the prime factors of 38385 and 38401.

Prime Factorization of 38385

Prime Factorization of 38401

Now multiplying the highest exponent prime factors to calculate the LCM of 38385 and 38401.

LCM(38385,38401) = 3² × 5¹ × 853¹ × 11¹ × 3491¹
LCM(38385,38401) = 1474022385