What is the Least Common Multiple of 34106 and 34122?

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 34106 and 34122 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34106 and 34122, than apply into the LCM equation.

GCF(34106,34122) = 2
LCM(34106,34122) = ( 34106 × 34122) / 2
LCM(34106,34122) = 1163764932 / 2
LCM(34106,34122) = 581882466

Least Common Multiple (LCM) of 34106 and 34122 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34106 and 34122. First we will calculate the prime factors of 34106 and 34122.

Prime Factorization of 34106

Prime Factorization of 34122

Now multiplying the highest exponent prime factors to calculate the LCM of 34106 and 34122.

LCM(34106,34122) = 2¹ × 17053¹ × 3¹ × 11² × 47¹
LCM(34106,34122) = 581882466