What is the Least Common Multiple of 58350 and 58367?

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 58350 and 58367 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58350 and 58367, than apply into the LCM equation.

GCF(58350,58367) = 1
LCM(58350,58367) = ( 58350 × 58367) / 1
LCM(58350,58367) = 3405714450 / 1
LCM(58350,58367) = 3405714450

Least Common Multiple (LCM) of 58350 and 58367 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58350 and 58367. First we will calculate the prime factors of 58350 and 58367.

Prime Factorization of 58350

Prime Factorization of 58367

Now multiplying the highest exponent prime factors to calculate the LCM of 58350 and 58367.

LCM(58350,58367) = 2¹ × 3¹ × 5² × 389¹ × 58367¹
LCM(58350,58367) = 3405714450