What is the Least Common Multiple of 89826 and 89846?

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 89826 and 89846 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89826 and 89846, than apply into the LCM equation.

GCF(89826,89846) = 2
LCM(89826,89846) = ( 89826 × 89846) / 2
LCM(89826,89846) = 8070506796 / 2
LCM(89826,89846) = 4035253398

Least Common Multiple (LCM) of 89826 and 89846 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89826 and 89846. First we will calculate the prime factors of 89826 and 89846.

Prime Factorization of 89826

Prime Factorization of 89846

Now multiplying the highest exponent prime factors to calculate the LCM of 89826 and 89846.

LCM(89826,89846) = 2¹ × 3¹ × 11¹ × 1361¹ × 167¹ × 269¹
LCM(89826,89846) = 4035253398