What is the Least Common Multiple of 85056 and 85074?

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 85074 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 85074, than apply into the LCM equation.

GCF(85056,85074) = 6
LCM(85056,85074) = ( 85056 × 85074) / 6
LCM(85056,85074) = 7236054144 / 6
LCM(85056,85074) = 1206009024

Least Common Multiple (LCM) of 85056 and 85074 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85056 and 85074. First we will calculate the prime factors of 85056 and 85074.

Prime Factorization of 85056

Prime Factorization of 85074

Now multiplying the highest exponent prime factors to calculate the LCM of 85056 and 85074.

LCM(85056,85074) = 2⁶ × 3¹ × 443¹ × 11¹ × 1289¹
LCM(85056,85074) = 1206009024