What is the Least Common Multiple of 86440 and 86445?

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 86440 and 86445 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86440 and 86445, than apply into the LCM equation.

GCF(86440,86445) = 5
LCM(86440,86445) = ( 86440 × 86445) / 5
LCM(86440,86445) = 7472305800 / 5
LCM(86440,86445) = 1494461160

Least Common Multiple (LCM) of 86440 and 86445 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86440 and 86445. First we will calculate the prime factors of 86440 and 86445.

Prime Factorization of 86440

Prime Factorization of 86445

Now multiplying the highest exponent prime factors to calculate the LCM of 86440 and 86445.

LCM(86440,86445) = 2³ × 5¹ × 2161¹ × 3² × 17¹ × 113¹
LCM(86440,86445) = 1494461160