What is the Least Common Multiple of 89886 and 89893?

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 89886 and 89893 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89886 and 89893, than apply into the LCM equation.

GCF(89886,89893) = 1
LCM(89886,89893) = ( 89886 × 89893) / 1
LCM(89886,89893) = 8080122198 / 1
LCM(89886,89893) = 8080122198

Least Common Multiple (LCM) of 89886 and 89893 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89886 and 89893. First we will calculate the prime factors of 89886 and 89893.

Prime Factorization of 89886

Prime Factorization of 89893

Now multiplying the highest exponent prime factors to calculate the LCM of 89886 and 89893.

LCM(89886,89893) = 2¹ × 3¹ × 71¹ × 211¹ × 241¹ × 373¹
LCM(89886,89893) = 8080122198