What is the Least Common Multiple of 89817 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 89817 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 89817 and 89823, than apply into the LCM equation.

GCF(89817,89823) = 3
LCM(89817,89823) = ( 89817 × 89823) / 3
LCM(89817,89823) = 8067632391 / 3
LCM(89817,89823) = 2689210797

Least Common Multiple (LCM) of 89817 and 89823 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89817 and 89823. First we will calculate the prime factors of 89817 and 89823.

Prime Factorization of 89817

Prime Factorization of 89823

Now multiplying the highest exponent prime factors to calculate the LCM of 89817 and 89823.

LCM(89817,89823) = 3¹ × 7² × 13¹ × 47¹ × 79¹ × 379¹
LCM(89817,89823) = 2689210797