What is the Least Common Multiple of 85344 and 85350?

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 85344 and 85350 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85344 and 85350, than apply into the LCM equation.

GCF(85344,85350) = 6
LCM(85344,85350) = ( 85344 × 85350) / 6
LCM(85344,85350) = 7284110400 / 6
LCM(85344,85350) = 1214018400

Least Common Multiple (LCM) of 85344 and 85350 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85344 and 85350. First we will calculate the prime factors of 85344 and 85350.

Prime Factorization of 85344

Prime Factorization of 85350

Now multiplying the highest exponent prime factors to calculate the LCM of 85344 and 85350.

LCM(85344,85350) = 2⁵ × 3¹ × 7¹ × 127¹ × 5² × 569¹
LCM(85344,85350) = 1214018400