What is the Least Common Multiple of 85878 and 85896?

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 85878 and 85896 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85878 and 85896, than apply into the LCM equation.

GCF(85878,85896) = 18
LCM(85878,85896) = ( 85878 × 85896) / 18
LCM(85878,85896) = 7376576688 / 18
LCM(85878,85896) = 409809816

Least Common Multiple (LCM) of 85878 and 85896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85878 and 85896. First we will calculate the prime factors of 85878 and 85896.

Prime Factorization of 85878

Prime Factorization of 85896

Now multiplying the highest exponent prime factors to calculate the LCM of 85878 and 85896.

LCM(85878,85896) = 2³ × 3² × 13¹ × 367¹ × 1193¹
LCM(85878,85896) = 409809816