What is the Least Common Multiple of 86085 and 86103?

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 86085 and 86103 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86085 and 86103, than apply into the LCM equation.

GCF(86085,86103) = 9
LCM(86085,86103) = ( 86085 × 86103) / 9
LCM(86085,86103) = 7412176755 / 9
LCM(86085,86103) = 823575195

Least Common Multiple (LCM) of 86085 and 86103 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86085 and 86103. First we will calculate the prime factors of 86085 and 86103.

Prime Factorization of 86085

Prime Factorization of 86103

Now multiplying the highest exponent prime factors to calculate the LCM of 86085 and 86103.

LCM(86085,86103) = 3⁴ × 5¹ × 1913¹ × 1063¹
LCM(86085,86103) = 823575195