What is the Least Common Multiple of 85368 and 85385?

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 85368 and 85385 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85368 and 85385, than apply into the LCM equation.

GCF(85368,85385) = 1
LCM(85368,85385) = ( 85368 × 85385) / 1
LCM(85368,85385) = 7289146680 / 1
LCM(85368,85385) = 7289146680

Least Common Multiple (LCM) of 85368 and 85385 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85368 and 85385. First we will calculate the prime factors of 85368 and 85385.

Prime Factorization of 85368

Prime Factorization of 85385

Now multiplying the highest exponent prime factors to calculate the LCM of 85368 and 85385.

LCM(85368,85385) = 2³ × 3¹ × 3557¹ × 5¹ × 17077¹
LCM(85368,85385) = 7289146680