What is the Least Common Multiple of 84464 and 84484?

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 84464 and 84484 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84464 and 84484, than apply into the LCM equation.

GCF(84464,84484) = 4
LCM(84464,84484) = ( 84464 × 84484) / 4
LCM(84464,84484) = 7135856576 / 4
LCM(84464,84484) = 1783964144

Least Common Multiple (LCM) of 84464 and 84484 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84464 and 84484. First we will calculate the prime factors of 84464 and 84484.

Prime Factorization of 84464

Prime Factorization of 84484

Now multiplying the highest exponent prime factors to calculate the LCM of 84464 and 84484.

LCM(84464,84484) = 2⁴ × 5279¹ × 21121¹
LCM(84464,84484) = 1783964144