What is the Least Common Multiple of 83436 and 83456?

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 83436 and 83456 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83436 and 83456, than apply into the LCM equation.

GCF(83436,83456) = 4
LCM(83436,83456) = ( 83436 × 83456) / 4
LCM(83436,83456) = 6963234816 / 4
LCM(83436,83456) = 1740808704

Least Common Multiple (LCM) of 83436 and 83456 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83436 and 83456. First we will calculate the prime factors of 83436 and 83456.

Prime Factorization of 83436

Prime Factorization of 83456

Now multiplying the highest exponent prime factors to calculate the LCM of 83436 and 83456.

LCM(83436,83456) = 2⁹ × 3¹ × 17¹ × 409¹ × 163¹
LCM(83436,83456) = 1740808704