What is the Least Common Multiple of 96380 and 96395?

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 96380 and 96395 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96380 and 96395, than apply into the LCM equation.

GCF(96380,96395) = 5
LCM(96380,96395) = ( 96380 × 96395) / 5
LCM(96380,96395) = 9290550100 / 5
LCM(96380,96395) = 1858110020

Least Common Multiple (LCM) of 96380 and 96395 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96380 and 96395. First we will calculate the prime factors of 96380 and 96395.

Prime Factorization of 96380

Prime Factorization of 96395

Now multiplying the highest exponent prime factors to calculate the LCM of 96380 and 96395.

LCM(96380,96395) = 2² × 5¹ × 61¹ × 79¹ × 13¹ × 1483¹
LCM(96380,96395) = 1858110020