What is the Least Common Multiple of 32283 and 32287?

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 32283 and 32287 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32283 and 32287, than apply into the LCM equation.

GCF(32283,32287) = 1
LCM(32283,32287) = ( 32283 × 32287) / 1
LCM(32283,32287) = 1042321221 / 1
LCM(32283,32287) = 1042321221

Least Common Multiple (LCM) of 32283 and 32287 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32283 and 32287. First we will calculate the prime factors of 32283 and 32287.

Prime Factorization of 32283

Prime Factorization of 32287

Now multiplying the highest exponent prime factors to calculate the LCM of 32283 and 32287.

LCM(32283,32287) = 3² × 17¹ × 211¹ × 83¹ × 389¹
LCM(32283,32287) = 1042321221