What is the Least Common Multiple of 84312 and 84324?

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 84312 and 84324 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84312 and 84324, than apply into the LCM equation.

GCF(84312,84324) = 12
LCM(84312,84324) = ( 84312 × 84324) / 12
LCM(84312,84324) = 7109525088 / 12
LCM(84312,84324) = 592460424

Least Common Multiple (LCM) of 84312 and 84324 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84312 and 84324. First we will calculate the prime factors of 84312 and 84324.

Prime Factorization of 84312

Prime Factorization of 84324

Now multiplying the highest exponent prime factors to calculate the LCM of 84312 and 84324.

LCM(84312,84324) = 2³ × 3² × 1171¹ × 7027¹
LCM(84312,84324) = 592460424