What is the Least Common Multiple of 85772 and 85784?

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 85772 and 85784 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85772 and 85784, than apply into the LCM equation.

GCF(85772,85784) = 4
LCM(85772,85784) = ( 85772 × 85784) / 4
LCM(85772,85784) = 7357865248 / 4
LCM(85772,85784) = 1839466312

Least Common Multiple (LCM) of 85772 and 85784 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85772 and 85784. First we will calculate the prime factors of 85772 and 85784.

Prime Factorization of 85772

Prime Factorization of 85784

Now multiplying the highest exponent prime factors to calculate the LCM of 85772 and 85784.

LCM(85772,85784) = 2³ × 41¹ × 523¹ × 10723¹
LCM(85772,85784) = 1839466312