What is the Least Common Multiple of 86591 and 86610?

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 86591 and 86610 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86591 and 86610, than apply into the LCM equation.

GCF(86591,86610) = 1
LCM(86591,86610) = ( 86591 × 86610) / 1
LCM(86591,86610) = 7499646510 / 1
LCM(86591,86610) = 7499646510

Least Common Multiple (LCM) of 86591 and 86610 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86591 and 86610. First we will calculate the prime factors of 86591 and 86610.

Prime Factorization of 86591

Prime Factorization of 86610

Now multiplying the highest exponent prime factors to calculate the LCM of 86591 and 86610.

LCM(86591,86610) = 131¹ × 661¹ × 2¹ × 3¹ × 5¹ × 2887¹
LCM(86591,86610) = 7499646510