What is the Least Common Multiple of 38224 and 38243?

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 38224 and 38243 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38224 and 38243, than apply into the LCM equation.

GCF(38224,38243) = 1
LCM(38224,38243) = ( 38224 × 38243) / 1
LCM(38224,38243) = 1461800432 / 1
LCM(38224,38243) = 1461800432

Least Common Multiple (LCM) of 38224 and 38243 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38224 and 38243. First we will calculate the prime factors of 38224 and 38243.

Prime Factorization of 38224

Prime Factorization of 38243

Now multiplying the highest exponent prime factors to calculate the LCM of 38224 and 38243.

LCM(38224,38243) = 2⁴ × 2389¹ × 167¹ × 229¹
LCM(38224,38243) = 1461800432