What is the Least Common Multiple of 86360 and 86377?

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 86360 and 86377 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86360 and 86377, than apply into the LCM equation.

GCF(86360,86377) = 17
LCM(86360,86377) = ( 86360 × 86377) / 17
LCM(86360,86377) = 7459517720 / 17
LCM(86360,86377) = 438795160

Least Common Multiple (LCM) of 86360 and 86377 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86360 and 86377. First we will calculate the prime factors of 86360 and 86377.

Prime Factorization of 86360

Prime Factorization of 86377

Now multiplying the highest exponent prime factors to calculate the LCM of 86360 and 86377.

LCM(86360,86377) = 2³ × 5¹ × 17¹ × 127¹ × 5081¹
LCM(86360,86377) = 438795160