What is the Least Common Multiple of 84824 and 84833?

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 84824 and 84833 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84824 and 84833, than apply into the LCM equation.

GCF(84824,84833) = 1
LCM(84824,84833) = ( 84824 × 84833) / 1
LCM(84824,84833) = 7195874392 / 1
LCM(84824,84833) = 7195874392

Least Common Multiple (LCM) of 84824 and 84833 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84824 and 84833. First we will calculate the prime factors of 84824 and 84833.

Prime Factorization of 84824

Prime Factorization of 84833

Now multiplying the highest exponent prime factors to calculate the LCM of 84824 and 84833.

LCM(84824,84833) = 2³ × 23¹ × 461¹ × 7¹ × 12119¹
LCM(84824,84833) = 7195874392