What is the Least Common Multiple of 34099 and 34109?

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 34099 and 34109 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34099 and 34109, than apply into the LCM equation.

GCF(34099,34109) = 1
LCM(34099,34109) = ( 34099 × 34109) / 1
LCM(34099,34109) = 1163082791 / 1
LCM(34099,34109) = 1163082791

Least Common Multiple (LCM) of 34099 and 34109 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34099 and 34109. First we will calculate the prime factors of 34099 and 34109.

Prime Factorization of 34099

Prime Factorization of 34109

Now multiplying the highest exponent prime factors to calculate the LCM of 34099 and 34109.

LCM(34099,34109) = 13¹ × 43¹ × 61¹ × 23¹ × 1483¹
LCM(34099,34109) = 1163082791