What is the Least Common Multiple of 86345 and 86360?

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 86345 and 86360 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86345 and 86360, than apply into the LCM equation.

GCF(86345,86360) = 5
LCM(86345,86360) = ( 86345 × 86360) / 5
LCM(86345,86360) = 7456754200 / 5
LCM(86345,86360) = 1491350840

Least Common Multiple (LCM) of 86345 and 86360 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86345 and 86360. First we will calculate the prime factors of 86345 and 86360.

Prime Factorization of 86345

Prime Factorization of 86360

Now multiplying the highest exponent prime factors to calculate the LCM of 86345 and 86360.

LCM(86345,86360) = 5¹ × 7¹ × 2467¹ × 2³ × 17¹ × 127¹
LCM(86345,86360) = 1491350840