What is the Least Common Multiple of 39147 and 39167?

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 39147 and 39167 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39147 and 39167, than apply into the LCM equation.

GCF(39147,39167) = 1
LCM(39147,39167) = ( 39147 × 39167) / 1
LCM(39147,39167) = 1533270549 / 1
LCM(39147,39167) = 1533270549

Least Common Multiple (LCM) of 39147 and 39167 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39147 and 39167. First we will calculate the prime factors of 39147 and 39167.

Prime Factorization of 39147

Prime Factorization of 39167

Now multiplying the highest exponent prime factors to calculate the LCM of 39147 and 39167.

LCM(39147,39167) = 3¹ × 13049¹ × 53¹ × 739¹
LCM(39147,39167) = 1533270549