What is the Least Common Multiple of 92385 and 92400?

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 92385 and 92400 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92385 and 92400, than apply into the LCM equation.

GCF(92385,92400) = 15
LCM(92385,92400) = ( 92385 × 92400) / 15
LCM(92385,92400) = 8536374000 / 15
LCM(92385,92400) = 569091600

Least Common Multiple (LCM) of 92385 and 92400 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92385 and 92400. First we will calculate the prime factors of 92385 and 92400.

Prime Factorization of 92385

Prime Factorization of 92400

Now multiplying the highest exponent prime factors to calculate the LCM of 92385 and 92400.

LCM(92385,92400) = 3² × 5² × 2053¹ × 2⁴ × 7¹ × 11¹
LCM(92385,92400) = 569091600