What is the Least Common Multiple of 89095 and 89099?

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 89095 and 89099 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89095 and 89099, than apply into the LCM equation.

GCF(89095,89099) = 1
LCM(89095,89099) = ( 89095 × 89099) / 1
LCM(89095,89099) = 7938275405 / 1
LCM(89095,89099) = 7938275405

Least Common Multiple (LCM) of 89095 and 89099 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89095 and 89099. First we will calculate the prime factors of 89095 and 89099.

Prime Factorization of 89095

Prime Factorization of 89099

Now multiplying the highest exponent prime factors to calculate the LCM of 89095 and 89099.

LCM(89095,89099) = 5¹ × 103¹ × 173¹ × 139¹ × 641¹
LCM(89095,89099) = 7938275405