What is the Least Common Multiple of 84805 and 84825?

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 84805 and 84825 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84805 and 84825, than apply into the LCM equation.

GCF(84805,84825) = 5
LCM(84805,84825) = ( 84805 × 84825) / 5
LCM(84805,84825) = 7193584125 / 5
LCM(84805,84825) = 1438716825

Least Common Multiple (LCM) of 84805 and 84825 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84805 and 84825. First we will calculate the prime factors of 84805 and 84825.

Prime Factorization of 84805

Prime Factorization of 84825

Now multiplying the highest exponent prime factors to calculate the LCM of 84805 and 84825.

LCM(84805,84825) = 5² × 7¹ × 2423¹ × 3² × 13¹ × 29¹
LCM(84805,84825) = 1438716825