What is the Least Common Multiple of 32169 and 32175?

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 32169 and 32175 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32169 and 32175, than apply into the LCM equation.

GCF(32169,32175) = 3
LCM(32169,32175) = ( 32169 × 32175) / 3
LCM(32169,32175) = 1035037575 / 3
LCM(32169,32175) = 345012525

Least Common Multiple (LCM) of 32169 and 32175 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32169 and 32175. First we will calculate the prime factors of 32169 and 32175.

Prime Factorization of 32169

Prime Factorization of 32175

Now multiplying the highest exponent prime factors to calculate the LCM of 32169 and 32175.

LCM(32169,32175) = 3² × 10723¹ × 5² × 11¹ × 13¹
LCM(32169,32175) = 345012525