What is the Least Common Multiple of 84501 and 84514?

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 84501 and 84514 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84501 and 84514, than apply into the LCM equation.

GCF(84501,84514) = 1
LCM(84501,84514) = ( 84501 × 84514) / 1
LCM(84501,84514) = 7141517514 / 1
LCM(84501,84514) = 7141517514

Least Common Multiple (LCM) of 84501 and 84514 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84501 and 84514. First we will calculate the prime factors of 84501 and 84514.

Prime Factorization of 84501

Prime Factorization of 84514

Now multiplying the highest exponent prime factors to calculate the LCM of 84501 and 84514.

LCM(84501,84514) = 3² × 41¹ × 229¹ × 2¹ × 42257¹
LCM(84501,84514) = 7141517514