What is the Least Common Multiple of 34058 and 34064?

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 34064 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 34064, than apply into the LCM equation.

GCF(34058,34064) = 2
LCM(34058,34064) = ( 34058 × 34064) / 2
LCM(34058,34064) = 1160151712 / 2
LCM(34058,34064) = 580075856

Least Common Multiple (LCM) of 34058 and 34064 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34058 and 34064. First we will calculate the prime factors of 34058 and 34064.

Prime Factorization of 34058

Prime Factorization of 34064

Now multiplying the highest exponent prime factors to calculate the LCM of 34058 and 34064.

LCM(34058,34064) = 2⁴ × 17029¹ × 2129¹
LCM(34058,34064) = 580075856