What is the Least Common Multiple of 85056 and 85068?

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 85056 and 85068 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85056 and 85068, than apply into the LCM equation.

GCF(85056,85068) = 12
LCM(85056,85068) = ( 85056 × 85068) / 12
LCM(85056,85068) = 7235543808 / 12
LCM(85056,85068) = 602961984

Least Common Multiple (LCM) of 85056 and 85068 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85056 and 85068. First we will calculate the prime factors of 85056 and 85068.

Prime Factorization of 85056

Prime Factorization of 85068

Now multiplying the highest exponent prime factors to calculate the LCM of 85056 and 85068.

LCM(85056,85068) = 2⁶ × 3² × 443¹ × 17¹ × 139¹
LCM(85056,85068) = 602961984