What is the Least Common Multiple of 76189 and 76193?

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 76189 and 76193 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76189 and 76193, than apply into the LCM equation.

GCF(76189,76193) = 1
LCM(76189,76193) = ( 76189 × 76193) / 1
LCM(76189,76193) = 5805068477 / 1
LCM(76189,76193) = 5805068477

Least Common Multiple (LCM) of 76189 and 76193 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76189 and 76193. First we will calculate the prime factors of 76189 and 76193.

Prime Factorization of 76189

Prime Factorization of 76193

Now multiplying the highest exponent prime factors to calculate the LCM of 76189 and 76193.

LCM(76189,76193) = 61¹ × 1249¹ × 13¹ × 5861¹
LCM(76189,76193) = 5805068477