What is the Least Common Multiple of 84772 and 84784?

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 84772 and 84784 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84772 and 84784, than apply into the LCM equation.

GCF(84772,84784) = 4
LCM(84772,84784) = ( 84772 × 84784) / 4
LCM(84772,84784) = 7187309248 / 4
LCM(84772,84784) = 1796827312

Least Common Multiple (LCM) of 84772 and 84784 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84772 and 84784. First we will calculate the prime factors of 84772 and 84784.

Prime Factorization of 84772

Prime Factorization of 84784

Now multiplying the highest exponent prime factors to calculate the LCM of 84772 and 84784.

LCM(84772,84784) = 2⁴ × 21193¹ × 7¹ × 757¹
LCM(84772,84784) = 1796827312