What is the Least Common Multiple of 32110 and 32129?

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 32110 and 32129 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32110 and 32129, than apply into the LCM equation.

GCF(32110,32129) = 19
LCM(32110,32129) = ( 32110 × 32129) / 19
LCM(32110,32129) = 1031662190 / 19
LCM(32110,32129) = 54298010

Least Common Multiple (LCM) of 32110 and 32129 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32110 and 32129. First we will calculate the prime factors of 32110 and 32129.

Prime Factorization of 32110

Prime Factorization of 32129

Now multiplying the highest exponent prime factors to calculate the LCM of 32110 and 32129.

LCM(32110,32129) = 2¹ × 5¹ × 13² × 19² × 89¹
LCM(32110,32129) = 54298010