What is the Least Common Multiple of 89105 and 89115?

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 89105 and 89115 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89105 and 89115, than apply into the LCM equation.

GCF(89105,89115) = 5
LCM(89105,89115) = ( 89105 × 89115) / 5
LCM(89105,89115) = 7940592075 / 5
LCM(89105,89115) = 1588118415

Least Common Multiple (LCM) of 89105 and 89115 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89105 and 89115. First we will calculate the prime factors of 89105 and 89115.

Prime Factorization of 89105

Prime Factorization of 89115

Now multiplying the highest exponent prime factors to calculate the LCM of 89105 and 89115.

LCM(89105,89115) = 5¹ × 71¹ × 251¹ × 3¹ × 13¹ × 457¹
LCM(89105,89115) = 1588118415