What is the Least Common Multiple of 38814 and 38832?

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 38814 and 38832 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38814 and 38832, than apply into the LCM equation.

GCF(38814,38832) = 6
LCM(38814,38832) = ( 38814 × 38832) / 6
LCM(38814,38832) = 1507225248 / 6
LCM(38814,38832) = 251204208

Least Common Multiple (LCM) of 38814 and 38832 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38814 and 38832. First we will calculate the prime factors of 38814 and 38832.

Prime Factorization of 38814

Prime Factorization of 38832

Now multiplying the highest exponent prime factors to calculate the LCM of 38814 and 38832.

LCM(38814,38832) = 2⁴ × 3¹ × 6469¹ × 809¹
LCM(38814,38832) = 251204208