What is the Least Common Multiple of 85378 and 85391?

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 85378 and 85391 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85378 and 85391, than apply into the LCM equation.

GCF(85378,85391) = 1
LCM(85378,85391) = ( 85378 × 85391) / 1
LCM(85378,85391) = 7290512798 / 1
LCM(85378,85391) = 7290512798

Least Common Multiple (LCM) of 85378 and 85391 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85378 and 85391. First we will calculate the prime factors of 85378 and 85391.

Prime Factorization of 85378

Prime Factorization of 85391

Now multiplying the highest exponent prime factors to calculate the LCM of 85378 and 85391.

LCM(85378,85391) = 2¹ × 42689¹ × 17¹ × 5023¹
LCM(85378,85391) = 7290512798