What is the Least Common Multiple of 34169 and 34175?

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 34169 and 34175 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34169 and 34175, than apply into the LCM equation.

GCF(34169,34175) = 1
LCM(34169,34175) = ( 34169 × 34175) / 1
LCM(34169,34175) = 1167725575 / 1
LCM(34169,34175) = 1167725575

Least Common Multiple (LCM) of 34169 and 34175 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34169 and 34175. First we will calculate the prime factors of 34169 and 34175.

Prime Factorization of 34169

Prime Factorization of 34175

Now multiplying the highest exponent prime factors to calculate the LCM of 34169 and 34175.

LCM(34169,34175) = 47¹ × 727¹ × 5² × 1367¹
LCM(34169,34175) = 1167725575