What is the Least Common Multiple of 34803 and 34813?

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 34803 and 34813 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34803 and 34813, than apply into the LCM equation.

GCF(34803,34813) = 1
LCM(34803,34813) = ( 34803 × 34813) / 1
LCM(34803,34813) = 1211596839 / 1
LCM(34803,34813) = 1211596839

Least Common Multiple (LCM) of 34803 and 34813 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34803 and 34813. First we will calculate the prime factors of 34803 and 34813.

Prime Factorization of 34803

Prime Factorization of 34813

Now multiplying the highest exponent prime factors to calculate the LCM of 34803 and 34813.

LCM(34803,34813) = 3³ × 1289¹ × 31¹ × 1123¹
LCM(34803,34813) = 1211596839