What is the Least Common Multiple of 68384 and 68400?

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 68384 and 68400 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68384 and 68400, than apply into the LCM equation.

GCF(68384,68400) = 16
LCM(68384,68400) = ( 68384 × 68400) / 16
LCM(68384,68400) = 4677465600 / 16
LCM(68384,68400) = 292341600

Least Common Multiple (LCM) of 68384 and 68400 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68384 and 68400. First we will calculate the prime factors of 68384 and 68400.

Prime Factorization of 68384

Prime Factorization of 68400

Now multiplying the highest exponent prime factors to calculate the LCM of 68384 and 68400.

LCM(68384,68400) = 2⁵ × 2137¹ × 3² × 5² × 19¹
LCM(68384,68400) = 292341600