What is the Least Common Multiple of 86570 and 86584?

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 86570 and 86584 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86570 and 86584, than apply into the LCM equation.

GCF(86570,86584) = 2
LCM(86570,86584) = ( 86570 × 86584) / 2
LCM(86570,86584) = 7495576880 / 2
LCM(86570,86584) = 3747788440

Least Common Multiple (LCM) of 86570 and 86584 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86570 and 86584. First we will calculate the prime factors of 86570 and 86584.

Prime Factorization of 86570

Prime Factorization of 86584

Now multiplying the highest exponent prime factors to calculate the LCM of 86570 and 86584.

LCM(86570,86584) = 2³ × 5¹ × 11¹ × 787¹ × 79¹ × 137¹
LCM(86570,86584) = 3747788440