What is the Least Common Multiple of 38150 and 38164?

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 38150 and 38164 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38150 and 38164, than apply into the LCM equation.

GCF(38150,38164) = 14
LCM(38150,38164) = ( 38150 × 38164) / 14
LCM(38150,38164) = 1455956600 / 14
LCM(38150,38164) = 103996900

Least Common Multiple (LCM) of 38150 and 38164 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38150 and 38164. First we will calculate the prime factors of 38150 and 38164.

Prime Factorization of 38150

Prime Factorization of 38164

Now multiplying the highest exponent prime factors to calculate the LCM of 38150 and 38164.

LCM(38150,38164) = 2² × 5² × 7¹ × 109¹ × 29¹ × 47¹
LCM(38150,38164) = 103996900