What is the Least Common Multiple of 84459 and 84464?

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 84459 and 84464 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84459 and 84464, than apply into the LCM equation.

GCF(84459,84464) = 1
LCM(84459,84464) = ( 84459 × 84464) / 1
LCM(84459,84464) = 7133744976 / 1
LCM(84459,84464) = 7133744976

Least Common Multiple (LCM) of 84459 and 84464 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84459 and 84464. First we will calculate the prime factors of 84459 and 84464.

Prime Factorization of 84459

Prime Factorization of 84464

Now multiplying the highest exponent prime factors to calculate the LCM of 84459 and 84464.

LCM(84459,84464) = 3¹ × 47¹ × 599¹ × 2⁴ × 5279¹
LCM(84459,84464) = 7133744976