What is the Least Common Multiple of 84544 and 84562?

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 84544 and 84562 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84544 and 84562, than apply into the LCM equation.

GCF(84544,84562) = 2
LCM(84544,84562) = ( 84544 × 84562) / 2
LCM(84544,84562) = 7149209728 / 2
LCM(84544,84562) = 3574604864

Least Common Multiple (LCM) of 84544 and 84562 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84544 and 84562. First we will calculate the prime factors of 84544 and 84562.

Prime Factorization of 84544

Prime Factorization of 84562

Now multiplying the highest exponent prime factors to calculate the LCM of 84544 and 84562.

LCM(84544,84562) = 2⁶ × 1321¹ × 42281¹
LCM(84544,84562) = 3574604864