What is the Least Common Multiple of 32230 and 32243?

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 32230 and 32243 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32230 and 32243, than apply into the LCM equation.

GCF(32230,32243) = 1
LCM(32230,32243) = ( 32230 × 32243) / 1
LCM(32230,32243) = 1039191890 / 1
LCM(32230,32243) = 1039191890

Least Common Multiple (LCM) of 32230 and 32243 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32230 and 32243. First we will calculate the prime factors of 32230 and 32243.

Prime Factorization of 32230

Prime Factorization of 32243

Now multiplying the highest exponent prime factors to calculate the LCM of 32230 and 32243.

LCM(32230,32243) = 2¹ × 5¹ × 11¹ × 293¹ × 19¹ × 1697¹
LCM(32230,32243) = 1039191890