What is the Least Common Multiple of 84804 and 84814?

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 84804 and 84814 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84804 and 84814, than apply into the LCM equation.

GCF(84804,84814) = 2
LCM(84804,84814) = ( 84804 × 84814) / 2
LCM(84804,84814) = 7192566456 / 2
LCM(84804,84814) = 3596283228

Least Common Multiple (LCM) of 84804 and 84814 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84804 and 84814. First we will calculate the prime factors of 84804 and 84814.

Prime Factorization of 84804

Prime Factorization of 84814

Now multiplying the highest exponent prime factors to calculate the LCM of 84804 and 84814.

LCM(84804,84814) = 2² × 3¹ × 37¹ × 191¹ × 42407¹
LCM(84804,84814) = 3596283228