What is the Least Common Multiple of 76167 and 76175?

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 76167 and 76175 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76167 and 76175, than apply into the LCM equation.

GCF(76167,76175) = 1
LCM(76167,76175) = ( 76167 × 76175) / 1
LCM(76167,76175) = 5802021225 / 1
LCM(76167,76175) = 5802021225

Least Common Multiple (LCM) of 76167 and 76175 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76167 and 76175. First we will calculate the prime factors of 76167 and 76175.

Prime Factorization of 76167

Prime Factorization of 76175

Now multiplying the highest exponent prime factors to calculate the LCM of 76167 and 76175.

LCM(76167,76175) = 3³ × 7¹ × 13¹ × 31¹ × 5² × 11¹ × 277¹
LCM(76167,76175) = 5802021225