What is the Least Common Multiple of 96380 and 96398?

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 96398 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 96398, than apply into the LCM equation.

GCF(96380,96398) = 2
LCM(96380,96398) = ( 96380 × 96398) / 2
LCM(96380,96398) = 9290839240 / 2
LCM(96380,96398) = 4645419620

Least Common Multiple (LCM) of 96380 and 96398 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96380 and 96398. First we will calculate the prime factors of 96380 and 96398.

Prime Factorization of 96380

Prime Factorization of 96398

Now multiplying the highest exponent prime factors to calculate the LCM of 96380 and 96398.

LCM(96380,96398) = 2² × 5¹ × 61¹ × 79¹ × 157¹ × 307¹
LCM(96380,96398) = 4645419620