What is the Least Common Multiple of 34034 and 34051?

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 34034 and 34051 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34034 and 34051, than apply into the LCM equation.

GCF(34034,34051) = 17
LCM(34034,34051) = ( 34034 × 34051) / 17
LCM(34034,34051) = 1158891734 / 17
LCM(34034,34051) = 68170102

Least Common Multiple (LCM) of 34034 and 34051 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34034 and 34051. First we will calculate the prime factors of 34034 and 34051.

Prime Factorization of 34034

Prime Factorization of 34051

Now multiplying the highest exponent prime factors to calculate the LCM of 34034 and 34051.

LCM(34034,34051) = 2¹ × 7¹ × 11¹ × 13¹ × 17¹ × 2003¹
LCM(34034,34051) = 68170102