What is the Least Common Multiple of 34805 and 34825?

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 34805 and 34825 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34805 and 34825, than apply into the LCM equation.

GCF(34805,34825) = 5
LCM(34805,34825) = ( 34805 × 34825) / 5
LCM(34805,34825) = 1212084125 / 5
LCM(34805,34825) = 242416825

Least Common Multiple (LCM) of 34805 and 34825 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34805 and 34825. First we will calculate the prime factors of 34805 and 34825.

Prime Factorization of 34805

Prime Factorization of 34825

Now multiplying the highest exponent prime factors to calculate the LCM of 34805 and 34825.

LCM(34805,34825) = 5² × 6961¹ × 7¹ × 199¹
LCM(34805,34825) = 242416825