What is the Least Common Multiple of 84496 and 84508?

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 84496 and 84508 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84496 and 84508, than apply into the LCM equation.

GCF(84496,84508) = 4
LCM(84496,84508) = ( 84496 × 84508) / 4
LCM(84496,84508) = 7140587968 / 4
LCM(84496,84508) = 1785146992

Least Common Multiple (LCM) of 84496 and 84508 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84496 and 84508. First we will calculate the prime factors of 84496 and 84508.

Prime Factorization of 84496

Prime Factorization of 84508

Now multiplying the highest exponent prime factors to calculate the LCM of 84496 and 84508.

LCM(84496,84508) = 2⁴ × 5281¹ × 37¹ × 571¹
LCM(84496,84508) = 1785146992