What is the Least Common Multiple of 76149 and 76167?

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 76149 and 76167 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76149 and 76167, than apply into the LCM equation.

GCF(76149,76167) = 9
LCM(76149,76167) = ( 76149 × 76167) / 9
LCM(76149,76167) = 5800040883 / 9
LCM(76149,76167) = 644448987

Least Common Multiple (LCM) of 76149 and 76167 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76149 and 76167. First we will calculate the prime factors of 76149 and 76167.

Prime Factorization of 76149

Prime Factorization of 76167

Now multiplying the highest exponent prime factors to calculate the LCM of 76149 and 76167.

LCM(76149,76167) = 3³ × 8461¹ × 7¹ × 13¹ × 31¹
LCM(76149,76167) = 644448987