What is the Least Common Multiple of 85356 and 85376?

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 85356 and 85376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85356 and 85376, than apply into the LCM equation.

GCF(85356,85376) = 4
LCM(85356,85376) = ( 85356 × 85376) / 4
LCM(85356,85376) = 7287353856 / 4
LCM(85356,85376) = 1821838464

Least Common Multiple (LCM) of 85356 and 85376 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85356 and 85376. First we will calculate the prime factors of 85356 and 85376.

Prime Factorization of 85356

Prime Factorization of 85376

Now multiplying the highest exponent prime factors to calculate the LCM of 85356 and 85376.

LCM(85356,85376) = 2⁷ × 3² × 2371¹ × 23¹ × 29¹
LCM(85356,85376) = 1821838464