What is the Least Common Multiple of 83496 and 83503?

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 83496 and 83503 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83496 and 83503, than apply into the LCM equation.

GCF(83496,83503) = 7
LCM(83496,83503) = ( 83496 × 83503) / 7
LCM(83496,83503) = 6972166488 / 7
LCM(83496,83503) = 996023784

Least Common Multiple (LCM) of 83496 and 83503 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83496 and 83503. First we will calculate the prime factors of 83496 and 83503.

Prime Factorization of 83496

Prime Factorization of 83503

Now multiplying the highest exponent prime factors to calculate the LCM of 83496 and 83503.

LCM(83496,83503) = 2³ × 3¹ × 7² × 71¹ × 79¹ × 151¹
LCM(83496,83503) = 996023784