What is the Least Common Multiple of 58346 and 58350?

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 58346 and 58350 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58346 and 58350, than apply into the LCM equation.

GCF(58346,58350) = 2
LCM(58346,58350) = ( 58346 × 58350) / 2
LCM(58346,58350) = 3404489100 / 2
LCM(58346,58350) = 1702244550

Least Common Multiple (LCM) of 58346 and 58350 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58346 and 58350. First we will calculate the prime factors of 58346 and 58350.

Prime Factorization of 58346

Prime Factorization of 58350

Now multiplying the highest exponent prime factors to calculate the LCM of 58346 and 58350.

LCM(58346,58350) = 2¹ × 29173¹ × 3¹ × 5² × 389¹
LCM(58346,58350) = 1702244550