What is the Least Common Multiple of 89865 and 89882?

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 89865 and 89882 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89865 and 89882, than apply into the LCM equation.

GCF(89865,89882) = 1
LCM(89865,89882) = ( 89865 × 89882) / 1
LCM(89865,89882) = 8077245930 / 1
LCM(89865,89882) = 8077245930

Least Common Multiple (LCM) of 89865 and 89882 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89865 and 89882. First we will calculate the prime factors of 89865 and 89882.

Prime Factorization of 89865

Prime Factorization of 89882

Now multiplying the highest exponent prime factors to calculate the LCM of 89865 and 89882.

LCM(89865,89882) = 3² × 5¹ × 1997¹ × 2¹ × 13¹ × 3457¹
LCM(89865,89882) = 8077245930