What is the Least Common Multiple of 88764 and 88784?

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 88764 and 88784 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88764 and 88784, than apply into the LCM equation.

GCF(88764,88784) = 4
LCM(88764,88784) = ( 88764 × 88784) / 4
LCM(88764,88784) = 7880822976 / 4
LCM(88764,88784) = 1970205744

Least Common Multiple (LCM) of 88764 and 88784 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88764 and 88784. First we will calculate the prime factors of 88764 and 88784.

Prime Factorization of 88764

Prime Factorization of 88784

Now multiplying the highest exponent prime factors to calculate the LCM of 88764 and 88784.

LCM(88764,88784) = 2⁴ × 3¹ × 13¹ × 569¹ × 31¹ × 179¹
LCM(88764,88784) = 1970205744