What is the Least Common Multiple of 76193 and 76197?

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 76193 and 76197 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76193 and 76197, than apply into the LCM equation.

GCF(76193,76197) = 1
LCM(76193,76197) = ( 76193 × 76197) / 1
LCM(76193,76197) = 5805678021 / 1
LCM(76193,76197) = 5805678021

Least Common Multiple (LCM) of 76193 and 76197 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76193 and 76197. First we will calculate the prime factors of 76193 and 76197.

Prime Factorization of 76193

Prime Factorization of 76197

Now multiplying the highest exponent prime factors to calculate the LCM of 76193 and 76197.

LCM(76193,76197) = 13¹ × 5861¹ × 3¹ × 11¹ × 2309¹
LCM(76193,76197) = 5805678021