What is the Least Common Multiple of 84792 and 84804?

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 84792 and 84804 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84792 and 84804, than apply into the LCM equation.

GCF(84792,84804) = 12
LCM(84792,84804) = ( 84792 × 84804) / 12
LCM(84792,84804) = 7190700768 / 12
LCM(84792,84804) = 599225064

Least Common Multiple (LCM) of 84792 and 84804 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84792 and 84804. First we will calculate the prime factors of 84792 and 84804.

Prime Factorization of 84792

Prime Factorization of 84804

Now multiplying the highest exponent prime factors to calculate the LCM of 84792 and 84804.

LCM(84792,84804) = 2³ × 3¹ × 3533¹ × 37¹ × 191¹
LCM(84792,84804) = 599225064