What is the Least Common Multiple of 86485 and 86503?

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 86485 and 86503 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86485 and 86503, than apply into the LCM equation.

GCF(86485,86503) = 1
LCM(86485,86503) = ( 86485 × 86503) / 1
LCM(86485,86503) = 7481211955 / 1
LCM(86485,86503) = 7481211955

Least Common Multiple (LCM) of 86485 and 86503 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86485 and 86503. First we will calculate the prime factors of 86485 and 86503.

Prime Factorization of 86485

Prime Factorization of 86503

Now multiplying the highest exponent prime factors to calculate the LCM of 86485 and 86503.

LCM(86485,86503) = 5¹ × 7² × 353¹ × 23¹ × 3761¹
LCM(86485,86503) = 7481211955