What is the Least Common Multiple of 34058 and 34072?

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 34058 and 34072 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34058 and 34072, than apply into the LCM equation.

GCF(34058,34072) = 2
LCM(34058,34072) = ( 34058 × 34072) / 2
LCM(34058,34072) = 1160424176 / 2
LCM(34058,34072) = 580212088

Least Common Multiple (LCM) of 34058 and 34072 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34058 and 34072. First we will calculate the prime factors of 34058 and 34072.

Prime Factorization of 34058

Prime Factorization of 34072

Now multiplying the highest exponent prime factors to calculate the LCM of 34058 and 34072.

LCM(34058,34072) = 2³ × 17029¹ × 4259¹
LCM(34058,34072) = 580212088