What is the Least Common Multiple of 89788 and 89806?

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 89788 and 89806 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89788 and 89806, than apply into the LCM equation.

GCF(89788,89806) = 2
LCM(89788,89806) = ( 89788 × 89806) / 2
LCM(89788,89806) = 8063501128 / 2
LCM(89788,89806) = 4031750564

Least Common Multiple (LCM) of 89788 and 89806 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89788 and 89806. First we will calculate the prime factors of 89788 and 89806.

Prime Factorization of 89788

Prime Factorization of 89806

Now multiplying the highest exponent prime factors to calculate the LCM of 89788 and 89806.

LCM(89788,89806) = 2² × 22447¹ × 83¹ × 541¹
LCM(89788,89806) = 4031750564