What is the Least Common Multiple of 89301 and 89315?

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 89301 and 89315 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89301 and 89315, than apply into the LCM equation.

GCF(89301,89315) = 1
LCM(89301,89315) = ( 89301 × 89315) / 1
LCM(89301,89315) = 7975918815 / 1
LCM(89301,89315) = 7975918815

Least Common Multiple (LCM) of 89301 and 89315 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89301 and 89315. First we will calculate the prime factors of 89301 and 89315.

Prime Factorization of 89301

Prime Factorization of 89315

Now multiplying the highest exponent prime factors to calculate the LCM of 89301 and 89315.

LCM(89301,89315) = 3¹ × 17² × 103¹ × 5¹ × 17863¹
LCM(89301,89315) = 7975918815