What is the Least Common Multiple of 89443 and 89454?

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 89443 and 89454 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89443 and 89454, than apply into the LCM equation.

GCF(89443,89454) = 1
LCM(89443,89454) = ( 89443 × 89454) / 1
LCM(89443,89454) = 8001034122 / 1
LCM(89443,89454) = 8001034122

Least Common Multiple (LCM) of 89443 and 89454 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89443 and 89454. First we will calculate the prime factors of 89443 and 89454.

Prime Factorization of 89443

Prime Factorization of 89454

Now multiplying the highest exponent prime factors to calculate the LCM of 89443 and 89454.

LCM(89443,89454) = 89443¹ × 2¹ × 3¹ × 17¹ × 877¹
LCM(89443,89454) = 8001034122