What is the Least Common Multiple of 86466 and 86473?

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 86466 and 86473 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86466 and 86473, than apply into the LCM equation.

GCF(86466,86473) = 1
LCM(86466,86473) = ( 86466 × 86473) / 1
LCM(86466,86473) = 7476974418 / 1
LCM(86466,86473) = 7476974418

Least Common Multiple (LCM) of 86466 and 86473 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86466 and 86473. First we will calculate the prime factors of 86466 and 86473.

Prime Factorization of 86466

Prime Factorization of 86473

Now multiplying the highest exponent prime factors to calculate the LCM of 86466 and 86473.

LCM(86466,86473) = 2¹ × 3¹ × 14411¹ × 43¹ × 2011¹
LCM(86466,86473) = 7476974418