What is the Least Common Multiple of 86240 and 86259?

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 86240 and 86259 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86240 and 86259, than apply into the LCM equation.

GCF(86240,86259) = 1
LCM(86240,86259) = ( 86240 × 86259) / 1
LCM(86240,86259) = 7438976160 / 1
LCM(86240,86259) = 7438976160

Least Common Multiple (LCM) of 86240 and 86259 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86240 and 86259. First we will calculate the prime factors of 86240 and 86259.

Prime Factorization of 86240

Prime Factorization of 86259

Now multiplying the highest exponent prime factors to calculate the LCM of 86240 and 86259.

LCM(86240,86259) = 2⁵ × 5¹ × 7² × 11¹ × 3¹ × 28753¹
LCM(86240,86259) = 7438976160