What is the Least Common Multiple of 57149 and 57169?

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 57149 and 57169 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57149 and 57169, than apply into the LCM equation.

GCF(57149,57169) = 1
LCM(57149,57169) = ( 57149 × 57169) / 1
LCM(57149,57169) = 3267151181 / 1
LCM(57149,57169) = 3267151181

Least Common Multiple (LCM) of 57149 and 57169 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57149 and 57169. First we will calculate the prime factors of 57149 and 57169.

Prime Factorization of 57149

Prime Factorization of 57169

Now multiplying the highest exponent prime factors to calculate the LCM of 57149 and 57169.

LCM(57149,57169) = 57149¹ × 7¹ × 8167¹
LCM(57149,57169) = 3267151181