What is the Least Common Multiple of 96400 and 96414?

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 96400 and 96414 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96400 and 96414, than apply into the LCM equation.

GCF(96400,96414) = 2
LCM(96400,96414) = ( 96400 × 96414) / 2
LCM(96400,96414) = 9294309600 / 2
LCM(96400,96414) = 4647154800

Least Common Multiple (LCM) of 96400 and 96414 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96400 and 96414. First we will calculate the prime factors of 96400 and 96414.

Prime Factorization of 96400

Prime Factorization of 96414

Now multiplying the highest exponent prime factors to calculate the LCM of 96400 and 96414.

LCM(96400,96414) = 2⁴ × 5² × 241¹ × 3¹ × 16069¹
LCM(96400,96414) = 4647154800