What is the Least Common Multiple of 86456 and 86474?

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 86456 and 86474 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86456 and 86474, than apply into the LCM equation.

GCF(86456,86474) = 2
LCM(86456,86474) = ( 86456 × 86474) / 2
LCM(86456,86474) = 7476196144 / 2
LCM(86456,86474) = 3738098072

Least Common Multiple (LCM) of 86456 and 86474 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86456 and 86474. First we will calculate the prime factors of 86456 and 86474.

Prime Factorization of 86456

Prime Factorization of 86474

Now multiplying the highest exponent prime factors to calculate the LCM of 86456 and 86474.

LCM(86456,86474) = 2³ × 101¹ × 107¹ × 43237¹
LCM(86456,86474) = 3738098072