What is the Least Common Multiple of 88716 and 88736?

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 88716 and 88736 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88716 and 88736, than apply into the LCM equation.

GCF(88716,88736) = 4
LCM(88716,88736) = ( 88716 × 88736) / 4
LCM(88716,88736) = 7872302976 / 4
LCM(88716,88736) = 1968075744

Least Common Multiple (LCM) of 88716 and 88736 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88716 and 88736. First we will calculate the prime factors of 88716 and 88736.

Prime Factorization of 88716

Prime Factorization of 88736

Now multiplying the highest exponent prime factors to calculate the LCM of 88716 and 88736.

LCM(88716,88736) = 2⁵ × 3¹ × 7393¹ × 47¹ × 59¹
LCM(88716,88736) = 1968075744