What is the Least Common Multiple of 89880 and 89899?

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 89880 and 89899 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89880 and 89899, than apply into the LCM equation.

GCF(89880,89899) = 1
LCM(89880,89899) = ( 89880 × 89899) / 1
LCM(89880,89899) = 8080122120 / 1
LCM(89880,89899) = 8080122120

Least Common Multiple (LCM) of 89880 and 89899 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89880 and 89899. First we will calculate the prime factors of 89880 and 89899.

Prime Factorization of 89880

Prime Factorization of 89899

Now multiplying the highest exponent prime factors to calculate the LCM of 89880 and 89899.

LCM(89880,89899) = 2³ × 3¹ × 5¹ × 7¹ × 107¹ × 89899¹
LCM(89880,89899) = 8080122120