What is the Least Common Multiple of 75772 and 75784?

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 75772 and 75784 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75772 and 75784, than apply into the LCM equation.

GCF(75772,75784) = 4
LCM(75772,75784) = ( 75772 × 75784) / 4
LCM(75772,75784) = 5742305248 / 4
LCM(75772,75784) = 1435576312

Least Common Multiple (LCM) of 75772 and 75784 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75772 and 75784. First we will calculate the prime factors of 75772 and 75784.

Prime Factorization of 75772

Prime Factorization of 75784

Now multiplying the highest exponent prime factors to calculate the LCM of 75772 and 75784.

LCM(75772,75784) = 2³ × 19¹ × 997¹ × 9473¹
LCM(75772,75784) = 1435576312