What is the Least Common Multiple of 38149 and 38167?

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 38149 and 38167 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38149 and 38167, than apply into the LCM equation.

GCF(38149,38167) = 1
LCM(38149,38167) = ( 38149 × 38167) / 1
LCM(38149,38167) = 1456032883 / 1
LCM(38149,38167) = 1456032883

Least Common Multiple (LCM) of 38149 and 38167 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38149 and 38167. First we will calculate the prime factors of 38149 and 38167.

Prime Factorization of 38149

Prime Factorization of 38167

Now multiplying the highest exponent prime factors to calculate the LCM of 38149 and 38167.

LCM(38149,38167) = 38149¹ × 38167¹
LCM(38149,38167) = 1456032883