What is the Least Common Multiple of 32172 and 32186?

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 32172 and 32186 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32172 and 32186, than apply into the LCM equation.

GCF(32172,32186) = 14
LCM(32172,32186) = ( 32172 × 32186) / 14
LCM(32172,32186) = 1035487992 / 14
LCM(32172,32186) = 73963428

Least Common Multiple (LCM) of 32172 and 32186 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32172 and 32186. First we will calculate the prime factors of 32172 and 32186.

Prime Factorization of 32172

Prime Factorization of 32186

Now multiplying the highest exponent prime factors to calculate the LCM of 32172 and 32186.

LCM(32172,32186) = 2² × 3¹ × 7¹ × 383¹ × 11² × 19¹
LCM(32172,32186) = 73963428