What is the Least Common Multiple of 32168 and 32179?

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 32168 and 32179 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32168 and 32179, than apply into the LCM equation.

GCF(32168,32179) = 1
LCM(32168,32179) = ( 32168 × 32179) / 1
LCM(32168,32179) = 1035134072 / 1
LCM(32168,32179) = 1035134072

Least Common Multiple (LCM) of 32168 and 32179 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32168 and 32179. First we will calculate the prime factors of 32168 and 32179.

Prime Factorization of 32168

Prime Factorization of 32179

Now multiplying the highest exponent prime factors to calculate the LCM of 32168 and 32179.

LCM(32168,32179) = 2³ × 4021¹ × 7¹ × 4597¹
LCM(32168,32179) = 1035134072