What is the Least Common Multiple of 34225 and 34245?

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 34225 and 34245 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34225 and 34245, than apply into the LCM equation.

GCF(34225,34245) = 5
LCM(34225,34245) = ( 34225 × 34245) / 5
LCM(34225,34245) = 1172035125 / 5
LCM(34225,34245) = 234407025

Least Common Multiple (LCM) of 34225 and 34245 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34225 and 34245. First we will calculate the prime factors of 34225 and 34245.

Prime Factorization of 34225

Prime Factorization of 34245

Now multiplying the highest exponent prime factors to calculate the LCM of 34225 and 34245.

LCM(34225,34245) = 5² × 37² × 3² × 761¹
LCM(34225,34245) = 234407025