What is the Least Common Multiple of 84080 and 84099?

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 84080 and 84099 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84080 and 84099, than apply into the LCM equation.

GCF(84080,84099) = 1
LCM(84080,84099) = ( 84080 × 84099) / 1
LCM(84080,84099) = 7071043920 / 1
LCM(84080,84099) = 7071043920

Least Common Multiple (LCM) of 84080 and 84099 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84080 and 84099. First we will calculate the prime factors of 84080 and 84099.

Prime Factorization of 84080

Prime Factorization of 84099

Now multiplying the highest exponent prime factors to calculate the LCM of 84080 and 84099.

LCM(84080,84099) = 2⁴ × 5¹ × 1051¹ × 3¹ × 17² × 97¹
LCM(84080,84099) = 7071043920