What is the Least Common Multiple of 84314 and 84334?

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 84314 and 84334 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84314 and 84334, than apply into the LCM equation.

GCF(84314,84334) = 2
LCM(84314,84334) = ( 84314 × 84334) / 2
LCM(84314,84334) = 7110536876 / 2
LCM(84314,84334) = 3555268438

Least Common Multiple (LCM) of 84314 and 84334 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84314 and 84334. First we will calculate the prime factors of 84314 and 84334.

Prime Factorization of 84314

Prime Factorization of 84334

Now multiplying the highest exponent prime factors to calculate the LCM of 84314 and 84334.

LCM(84314,84334) = 2¹ × 42157¹ × 149¹ × 283¹
LCM(84314,84334) = 3555268438