What is the Least Common Multiple of 96398 and 96406?

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 96398 and 96406 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96398 and 96406, than apply into the LCM equation.

GCF(96398,96406) = 2
LCM(96398,96406) = ( 96398 × 96406) / 2
LCM(96398,96406) = 9293345588 / 2
LCM(96398,96406) = 4646672794

Least Common Multiple (LCM) of 96398 and 96406 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96398 and 96406. First we will calculate the prime factors of 96398 and 96406.

Prime Factorization of 96398

Prime Factorization of 96406

Now multiplying the highest exponent prime factors to calculate the LCM of 96398 and 96406.

LCM(96398,96406) = 2¹ × 157¹ × 307¹ × 19¹ × 43¹ × 59¹
LCM(96398,96406) = 4646672794