What is the Least Common Multiple of 34113 and 34117?

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 34113 and 34117 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34113 and 34117, than apply into the LCM equation.

GCF(34113,34117) = 1
LCM(34113,34117) = ( 34113 × 34117) / 1
LCM(34113,34117) = 1163833221 / 1
LCM(34113,34117) = 1163833221

Least Common Multiple (LCM) of 34113 and 34117 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34113 and 34117. First we will calculate the prime factors of 34113 and 34117.

Prime Factorization of 34113

Prime Factorization of 34117

Now multiplying the highest exponent prime factors to calculate the LCM of 34113 and 34117.

LCM(34113,34117) = 3¹ × 83¹ × 137¹ × 109¹ × 313¹
LCM(34113,34117) = 1163833221