What is the Least Common Multiple of 32164 and 32184?

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 32164 and 32184 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32164 and 32184, than apply into the LCM equation.

GCF(32164,32184) = 4
LCM(32164,32184) = ( 32164 × 32184) / 4
LCM(32164,32184) = 1035166176 / 4
LCM(32164,32184) = 258791544

Least Common Multiple (LCM) of 32164 and 32184 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32164 and 32184. First we will calculate the prime factors of 32164 and 32184.

Prime Factorization of 32164

Prime Factorization of 32184

Now multiplying the highest exponent prime factors to calculate the LCM of 32164 and 32184.

LCM(32164,32184) = 2³ × 11¹ × 17¹ × 43¹ × 3³ × 149¹
LCM(32164,32184) = 258791544