What is the Least Common Multiple of 89271 and 89290?

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 89271 and 89290 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89271 and 89290, than apply into the LCM equation.

GCF(89271,89290) = 1
LCM(89271,89290) = ( 89271 × 89290) / 1
LCM(89271,89290) = 7971007590 / 1
LCM(89271,89290) = 7971007590

Least Common Multiple (LCM) of 89271 and 89290 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89271 and 89290. First we will calculate the prime factors of 89271 and 89290.

Prime Factorization of 89271

Prime Factorization of 89290

Now multiplying the highest exponent prime factors to calculate the LCM of 89271 and 89290.

LCM(89271,89290) = 3² × 7¹ × 13¹ × 109¹ × 2¹ × 5¹ × 8929¹
LCM(89271,89290) = 7971007590