What is the Least Common Multiple of 32188 and 32208?

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 32208 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 32208, than apply into the LCM equation.

GCF(32188,32208) = 4
LCM(32188,32208) = ( 32188 × 32208) / 4
LCM(32188,32208) = 1036711104 / 4
LCM(32188,32208) = 259177776

Least Common Multiple (LCM) of 32188 and 32208 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32188 and 32208. First we will calculate the prime factors of 32188 and 32208.

Prime Factorization of 32188

Prime Factorization of 32208

Now multiplying the highest exponent prime factors to calculate the LCM of 32188 and 32208.

LCM(32188,32208) = 2⁴ × 13¹ × 619¹ × 3¹ × 11¹ × 61¹
LCM(32188,32208) = 259177776