What is the Least Common Multiple of 32188 and 32205?

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 32188 and 32205 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32188 and 32205, than apply into the LCM equation.

GCF(32188,32205) = 1
LCM(32188,32205) = ( 32188 × 32205) / 1
LCM(32188,32205) = 1036614540 / 1
LCM(32188,32205) = 1036614540

Least Common Multiple (LCM) of 32188 and 32205 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32188 and 32205. First we will calculate the prime factors of 32188 and 32205.

Prime Factorization of 32188

Prime Factorization of 32205

Now multiplying the highest exponent prime factors to calculate the LCM of 32188 and 32205.

LCM(32188,32205) = 2² × 13¹ × 619¹ × 3¹ × 5¹ × 19¹ × 113¹
LCM(32188,32205) = 1036614540