What is the Least Common Multiple of 88746 and 88756?

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 88746 and 88756 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88746 and 88756, than apply into the LCM equation.

GCF(88746,88756) = 2
LCM(88746,88756) = ( 88746 × 88756) / 2
LCM(88746,88756) = 7876739976 / 2
LCM(88746,88756) = 3938369988

Least Common Multiple (LCM) of 88746 and 88756 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88746 and 88756. First we will calculate the prime factors of 88746 and 88756.

Prime Factorization of 88746

Prime Factorization of 88756

Now multiplying the highest exponent prime factors to calculate the LCM of 88746 and 88756.

LCM(88746,88756) = 2² × 3¹ × 7¹ × 2113¹ × 22189¹
LCM(88746,88756) = 3938369988