What is the Least Common Multiple of 32193 and 32213?

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 32193 and 32213 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32193 and 32213, than apply into the LCM equation.

GCF(32193,32213) = 1
LCM(32193,32213) = ( 32193 × 32213) / 1
LCM(32193,32213) = 1037033109 / 1
LCM(32193,32213) = 1037033109

Least Common Multiple (LCM) of 32193 and 32213 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32193 and 32213. First we will calculate the prime factors of 32193 and 32213.

Prime Factorization of 32193

Prime Factorization of 32213

Now multiplying the highest exponent prime factors to calculate the LCM of 32193 and 32213.

LCM(32193,32213) = 3² × 7² × 73¹ × 32213¹
LCM(32193,32213) = 1037033109