What is the Least Common Multiple of 86505 and 86523?

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 86505 and 86523 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86505 and 86523, than apply into the LCM equation.

GCF(86505,86523) = 3
LCM(86505,86523) = ( 86505 × 86523) / 3
LCM(86505,86523) = 7484672115 / 3
LCM(86505,86523) = 2494890705

Least Common Multiple (LCM) of 86505 and 86523 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86505 and 86523. First we will calculate the prime factors of 86505 and 86523.

Prime Factorization of 86505

Prime Factorization of 86523

Now multiplying the highest exponent prime factors to calculate the LCM of 86505 and 86523.

LCM(86505,86523) = 3¹ × 5¹ × 73¹ × 79¹ × 151¹ × 191¹
LCM(86505,86523) = 2494890705