What is the Least Common Multiple of 86550 and 86570?

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 86550 and 86570 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86550 and 86570, than apply into the LCM equation.

GCF(86550,86570) = 10
LCM(86550,86570) = ( 86550 × 86570) / 10
LCM(86550,86570) = 7492633500 / 10
LCM(86550,86570) = 749263350

Least Common Multiple (LCM) of 86550 and 86570 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86550 and 86570. First we will calculate the prime factors of 86550 and 86570.

Prime Factorization of 86550

Prime Factorization of 86570

Now multiplying the highest exponent prime factors to calculate the LCM of 86550 and 86570.

LCM(86550,86570) = 2¹ × 3¹ × 5² × 577¹ × 11¹ × 787¹
LCM(86550,86570) = 749263350