What is the Least Common Multiple of 58344 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 58344 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 58344 and 58350, than apply into the LCM equation.

GCF(58344,58350) = 6
LCM(58344,58350) = ( 58344 × 58350) / 6
LCM(58344,58350) = 3404372400 / 6
LCM(58344,58350) = 567395400

Least Common Multiple (LCM) of 58344 and 58350 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58344 and 58350. First we will calculate the prime factors of 58344 and 58350.

Prime Factorization of 58344

Prime Factorization of 58350

Now multiplying the highest exponent prime factors to calculate the LCM of 58344 and 58350.

LCM(58344,58350) = 2³ × 3¹ × 11¹ × 13¹ × 17¹ × 5² × 389¹
LCM(58344,58350) = 567395400