What is the Least Common Multiple of 34122 and 34133?

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 34122 and 34133 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34122 and 34133, than apply into the LCM equation.

GCF(34122,34133) = 11
LCM(34122,34133) = ( 34122 × 34133) / 11
LCM(34122,34133) = 1164686226 / 11
LCM(34122,34133) = 105880566

Least Common Multiple (LCM) of 34122 and 34133 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34122 and 34133. First we will calculate the prime factors of 34122 and 34133.

Prime Factorization of 34122

Prime Factorization of 34133

Now multiplying the highest exponent prime factors to calculate the LCM of 34122 and 34133.

LCM(34122,34133) = 2¹ × 3¹ × 11² × 47¹ × 29¹ × 107¹
LCM(34122,34133) = 105880566