What is the Least Common Multiple of 84189 and 84207?

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 84189 and 84207 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84189 and 84207, than apply into the LCM equation.

GCF(84189,84207) = 3
LCM(84189,84207) = ( 84189 × 84207) / 3
LCM(84189,84207) = 7089303123 / 3
LCM(84189,84207) = 2363101041

Least Common Multiple (LCM) of 84189 and 84207 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84189 and 84207. First we will calculate the prime factors of 84189 and 84207.

Prime Factorization of 84189

Prime Factorization of 84207

Now multiplying the highest exponent prime factors to calculate the LCM of 84189 and 84207.

LCM(84189,84207) = 3¹ × 7¹ × 19¹ × 211¹ × 28069¹
LCM(84189,84207) = 2363101041