What is the Least Common Multiple of 84014 and 84033?

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 84033 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 84033, than apply into the LCM equation.

GCF(84014,84033) = 1
LCM(84014,84033) = ( 84014 × 84033) / 1
LCM(84014,84033) = 7059948462 / 1
LCM(84014,84033) = 7059948462

Least Common Multiple (LCM) of 84014 and 84033 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84014 and 84033. First we will calculate the prime factors of 84014 and 84033.

Prime Factorization of 84014

Prime Factorization of 84033

Now multiplying the highest exponent prime factors to calculate the LCM of 84014 and 84033.

LCM(84014,84033) = 2¹ × 7¹ × 17¹ × 353¹ × 3² × 9337¹
LCM(84014,84033) = 7059948462