What is the Least Common Multiple of 59058 and 59075?

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 59058 and 59075 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59058 and 59075, than apply into the LCM equation.

GCF(59058,59075) = 17
LCM(59058,59075) = ( 59058 × 59075) / 17
LCM(59058,59075) = 3488851350 / 17
LCM(59058,59075) = 205226550

Least Common Multiple (LCM) of 59058 and 59075 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59058 and 59075. First we will calculate the prime factors of 59058 and 59075.

Prime Factorization of 59058

Prime Factorization of 59075

Now multiplying the highest exponent prime factors to calculate the LCM of 59058 and 59075.

LCM(59058,59075) = 2¹ × 3² × 17¹ × 193¹ × 5² × 139¹
LCM(59058,59075) = 205226550