What is the Least Common Multiple of 85040 and 85056?

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 85040 and 85056 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85040 and 85056, than apply into the LCM equation.

GCF(85040,85056) = 16
LCM(85040,85056) = ( 85040 × 85056) / 16
LCM(85040,85056) = 7233162240 / 16
LCM(85040,85056) = 452072640

Least Common Multiple (LCM) of 85040 and 85056 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85040 and 85056. First we will calculate the prime factors of 85040 and 85056.

Prime Factorization of 85040

Prime Factorization of 85056

Now multiplying the highest exponent prime factors to calculate the LCM of 85040 and 85056.

LCM(85040,85056) = 2⁶ × 5¹ × 1063¹ × 3¹ × 443¹
LCM(85040,85056) = 452072640