What is the Least Common Multiple of 86474 and 86488?

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 86474 and 86488 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86474 and 86488, than apply into the LCM equation.

GCF(86474,86488) = 2
LCM(86474,86488) = ( 86474 × 86488) / 2
LCM(86474,86488) = 7478963312 / 2
LCM(86474,86488) = 3739481656

Least Common Multiple (LCM) of 86474 and 86488 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86474 and 86488. First we will calculate the prime factors of 86474 and 86488.

Prime Factorization of 86474

Prime Factorization of 86488

Now multiplying the highest exponent prime factors to calculate the LCM of 86474 and 86488.

LCM(86474,86488) = 2³ × 43237¹ × 19¹ × 569¹
LCM(86474,86488) = 3739481656