What is the Least Common Multiple of 96800 and 96814?

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 96800 and 96814 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96800 and 96814, than apply into the LCM equation.

GCF(96800,96814) = 2
LCM(96800,96814) = ( 96800 × 96814) / 2
LCM(96800,96814) = 9371595200 / 2
LCM(96800,96814) = 4685797600

Least Common Multiple (LCM) of 96800 and 96814 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96800 and 96814. First we will calculate the prime factors of 96800 and 96814.

Prime Factorization of 96800

Prime Factorization of 96814

Now multiplying the highest exponent prime factors to calculate the LCM of 96800 and 96814.

LCM(96800,96814) = 2⁵ × 5² × 11² × 48407¹
LCM(96800,96814) = 4685797600