What is the Least Common Multiple of 67158 and 67165?

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 67158 and 67165 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67158 and 67165, than apply into the LCM equation.

GCF(67158,67165) = 7
LCM(67158,67165) = ( 67158 × 67165) / 7
LCM(67158,67165) = 4510667070 / 7
LCM(67158,67165) = 644381010

Least Common Multiple (LCM) of 67158 and 67165 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67158 and 67165. First we will calculate the prime factors of 67158 and 67165.

Prime Factorization of 67158

Prime Factorization of 67165

Now multiplying the highest exponent prime factors to calculate the LCM of 67158 and 67165.

LCM(67158,67165) = 2¹ × 3² × 7¹ × 13¹ × 41¹ × 5¹ × 19¹ × 101¹
LCM(67158,67165) = 644381010