What is the Least Common Multiple of 83052 and 83056?

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 83052 and 83056 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83052 and 83056, than apply into the LCM equation.

GCF(83052,83056) = 4
LCM(83052,83056) = ( 83052 × 83056) / 4
LCM(83052,83056) = 6897966912 / 4
LCM(83052,83056) = 1724491728

Least Common Multiple (LCM) of 83052 and 83056 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83052 and 83056. First we will calculate the prime factors of 83052 and 83056.

Prime Factorization of 83052

Prime Factorization of 83056

Now multiplying the highest exponent prime factors to calculate the LCM of 83052 and 83056.

LCM(83052,83056) = 2⁴ × 3³ × 769¹ × 29¹ × 179¹
LCM(83052,83056) = 1724491728