What is the Least Common Multiple of 84014 and 84031?

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 84014 and 84031 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84014 and 84031, than apply into the LCM equation.

GCF(84014,84031) = 17
LCM(84014,84031) = ( 84014 × 84031) / 17
LCM(84014,84031) = 7059780434 / 17
LCM(84014,84031) = 415281202

Least Common Multiple (LCM) of 84014 and 84031 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84014 and 84031. First we will calculate the prime factors of 84014 and 84031.

Prime Factorization of 84014

Prime Factorization of 84031

Now multiplying the highest exponent prime factors to calculate the LCM of 84014 and 84031.

LCM(84014,84031) = 2¹ × 7¹ × 17¹ × 353¹ × 4943¹
LCM(84014,84031) = 415281202