What is the Least Common Multiple of 34785 and 34805?

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 34785 and 34805 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34785 and 34805, than apply into the LCM equation.

GCF(34785,34805) = 5
LCM(34785,34805) = ( 34785 × 34805) / 5
LCM(34785,34805) = 1210691925 / 5
LCM(34785,34805) = 242138385

Least Common Multiple (LCM) of 34785 and 34805 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34785 and 34805. First we will calculate the prime factors of 34785 and 34805.

Prime Factorization of 34785

Prime Factorization of 34805

Now multiplying the highest exponent prime factors to calculate the LCM of 34785 and 34805.

LCM(34785,34805) = 3² × 5¹ × 773¹ × 6961¹
LCM(34785,34805) = 242138385