What is the Least Common Multiple of 34799 and 34803?

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 34799 and 34803 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34799 and 34803, than apply into the LCM equation.

GCF(34799,34803) = 1
LCM(34799,34803) = ( 34799 × 34803) / 1
LCM(34799,34803) = 1211109597 / 1
LCM(34799,34803) = 1211109597

Least Common Multiple (LCM) of 34799 and 34803 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34799 and 34803. First we will calculate the prime factors of 34799 and 34803.

Prime Factorization of 34799

Prime Factorization of 34803

Now multiplying the highest exponent prime factors to calculate the LCM of 34799 and 34803.

LCM(34799,34803) = 17¹ × 23¹ × 89¹ × 3³ × 1289¹
LCM(34799,34803) = 1211109597