What is the Least Common Multiple of 38144 and 38162?

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 38144 and 38162 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38144 and 38162, than apply into the LCM equation.

GCF(38144,38162) = 2
LCM(38144,38162) = ( 38144 × 38162) / 2
LCM(38144,38162) = 1455651328 / 2
LCM(38144,38162) = 727825664

Least Common Multiple (LCM) of 38144 and 38162 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38144 and 38162. First we will calculate the prime factors of 38144 and 38162.

Prime Factorization of 38144

Prime Factorization of 38162

Now multiplying the highest exponent prime factors to calculate the LCM of 38144 and 38162.

LCM(38144,38162) = 2⁸ × 149¹ × 19081¹
LCM(38144,38162) = 727825664