What is the Least Common Multiple of 58224 and 58243?

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 58224 and 58243 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58224 and 58243, than apply into the LCM equation.

GCF(58224,58243) = 1
LCM(58224,58243) = ( 58224 × 58243) / 1
LCM(58224,58243) = 3391140432 / 1
LCM(58224,58243) = 3391140432

Least Common Multiple (LCM) of 58224 and 58243 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58224 and 58243. First we will calculate the prime factors of 58224 and 58243.

Prime Factorization of 58224

Prime Factorization of 58243

Now multiplying the highest exponent prime factors to calculate the LCM of 58224 and 58243.

LCM(58224,58243) = 2⁴ × 3¹ × 1213¹ × 58243¹
LCM(58224,58243) = 3391140432