What is the Least Common Multiple of 76179 and 76198?

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 76179 and 76198 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76179 and 76198, than apply into the LCM equation.

GCF(76179,76198) = 1
LCM(76179,76198) = ( 76179 × 76198) / 1
LCM(76179,76198) = 5804687442 / 1
LCM(76179,76198) = 5804687442

Least Common Multiple (LCM) of 76179 and 76198 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76179 and 76198. First we will calculate the prime factors of 76179 and 76198.

Prime Factorization of 76179

Prime Factorization of 76198

Now multiplying the highest exponent prime factors to calculate the LCM of 76179 and 76198.

LCM(76179,76198) = 3¹ × 67¹ × 379¹ × 2¹ × 31¹ × 1229¹
LCM(76179,76198) = 5804687442