What is the Least Common Multiple of 84348 and 84365?

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 84348 and 84365 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84348 and 84365, than apply into the LCM equation.

GCF(84348,84365) = 1
LCM(84348,84365) = ( 84348 × 84365) / 1
LCM(84348,84365) = 7116019020 / 1
LCM(84348,84365) = 7116019020

Least Common Multiple (LCM) of 84348 and 84365 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84348 and 84365. First we will calculate the prime factors of 84348 and 84365.

Prime Factorization of 84348

Prime Factorization of 84365

Now multiplying the highest exponent prime factors to calculate the LCM of 84348 and 84365.

LCM(84348,84365) = 2² × 3³ × 11¹ × 71¹ × 5¹ × 47¹ × 359¹
LCM(84348,84365) = 7116019020