What is the Least Common Multiple of 84797 and 84816?

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 84797 and 84816 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84797 and 84816, than apply into the LCM equation.

GCF(84797,84816) = 19
LCM(84797,84816) = ( 84797 × 84816) / 19
LCM(84797,84816) = 7192142352 / 19
LCM(84797,84816) = 378533808

Least Common Multiple (LCM) of 84797 and 84816 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84797 and 84816. First we will calculate the prime factors of 84797 and 84816.

Prime Factorization of 84797

Prime Factorization of 84816

Now multiplying the highest exponent prime factors to calculate the LCM of 84797 and 84816.

LCM(84797,84816) = 19¹ × 4463¹ × 2⁴ × 3² × 31¹
LCM(84797,84816) = 378533808