What is the Least Common Multiple of 90394 and 90400?

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 90394 and 90400 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90394 and 90400, than apply into the LCM equation.

GCF(90394,90400) = 2
LCM(90394,90400) = ( 90394 × 90400) / 2
LCM(90394,90400) = 8171617600 / 2
LCM(90394,90400) = 4085808800

Least Common Multiple (LCM) of 90394 and 90400 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90394 and 90400. First we will calculate the prime factors of 90394 and 90400.

Prime Factorization of 90394

Prime Factorization of 90400

Now multiplying the highest exponent prime factors to calculate the LCM of 90394 and 90400.

LCM(90394,90400) = 2⁵ × 45197¹ × 5² × 113¹
LCM(90394,90400) = 4085808800