What is the Least Common Multiple of 89905 and 89917?

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 89905 and 89917 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89905 and 89917, than apply into the LCM equation.

GCF(89905,89917) = 1
LCM(89905,89917) = ( 89905 × 89917) / 1
LCM(89905,89917) = 8083987885 / 1
LCM(89905,89917) = 8083987885

Least Common Multiple (LCM) of 89905 and 89917 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89905 and 89917. First we will calculate the prime factors of 89905 and 89917.

Prime Factorization of 89905

Prime Factorization of 89917

Now multiplying the highest exponent prime factors to calculate the LCM of 89905 and 89917.

LCM(89905,89917) = 5¹ × 17981¹ × 89917¹
LCM(89905,89917) = 8083987885