What is the Least Common Multiple of 89296 and 89301?

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 89296 and 89301 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89296 and 89301, than apply into the LCM equation.

GCF(89296,89301) = 1
LCM(89296,89301) = ( 89296 × 89301) / 1
LCM(89296,89301) = 7974222096 / 1
LCM(89296,89301) = 7974222096

Least Common Multiple (LCM) of 89296 and 89301 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89296 and 89301. First we will calculate the prime factors of 89296 and 89301.

Prime Factorization of 89296

Prime Factorization of 89301

Now multiplying the highest exponent prime factors to calculate the LCM of 89296 and 89301.

LCM(89296,89301) = 2⁴ × 5581¹ × 3¹ × 17² × 103¹
LCM(89296,89301) = 7974222096