What is the Least Common Multiple of 34189 and 34207?

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 34189 and 34207 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34189 and 34207, than apply into the LCM equation.

GCF(34189,34207) = 1
LCM(34189,34207) = ( 34189 × 34207) / 1
LCM(34189,34207) = 1169503123 / 1
LCM(34189,34207) = 1169503123

Least Common Multiple (LCM) of 34189 and 34207 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34189 and 34207. First we will calculate the prime factors of 34189 and 34207.

Prime Factorization of 34189

Prime Factorization of 34207

Now multiplying the highest exponent prime factors to calculate the LCM of 34189 and 34207.

LCM(34189,34207) = 179¹ × 191¹ × 79¹ × 433¹
LCM(34189,34207) = 1169503123