What is the Least Common Multiple of 86088 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 86088 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 86088 and 86103, than apply into the LCM equation.

GCF(86088,86103) = 3
LCM(86088,86103) = ( 86088 × 86103) / 3
LCM(86088,86103) = 7412435064 / 3
LCM(86088,86103) = 2470811688

Least Common Multiple (LCM) of 86088 and 86103 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86088 and 86103. First we will calculate the prime factors of 86088 and 86103.

Prime Factorization of 86088

Prime Factorization of 86103

Now multiplying the highest exponent prime factors to calculate the LCM of 86088 and 86103.

LCM(86088,86103) = 2³ × 3⁴ × 17¹ × 211¹ × 1063¹
LCM(86088,86103) = 2470811688