What is the Least Common Multiple of 89811 and 89823?

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 89811 and 89823 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89811 and 89823, than apply into the LCM equation.

GCF(89811,89823) = 3
LCM(89811,89823) = ( 89811 × 89823) / 3
LCM(89811,89823) = 8067093453 / 3
LCM(89811,89823) = 2689031151

Least Common Multiple (LCM) of 89811 and 89823 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89811 and 89823. First we will calculate the prime factors of 89811 and 89823.

Prime Factorization of 89811

Prime Factorization of 89823

Now multiplying the highest exponent prime factors to calculate the LCM of 89811 and 89823.

LCM(89811,89823) = 3² × 17¹ × 587¹ × 79¹ × 379¹
LCM(89811,89823) = 2689031151