What is the Least Common Multiple of 41225 and 41245?

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 41225 and 41245 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41225 and 41245, than apply into the LCM equation.

GCF(41225,41245) = 5
LCM(41225,41245) = ( 41225 × 41245) / 5
LCM(41225,41245) = 1700325125 / 5
LCM(41225,41245) = 340065025

Least Common Multiple (LCM) of 41225 and 41245 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41225 and 41245. First we will calculate the prime factors of 41225 and 41245.

Prime Factorization of 41225

Prime Factorization of 41245

Now multiplying the highest exponent prime factors to calculate the LCM of 41225 and 41245.

LCM(41225,41245) = 5² × 17¹ × 97¹ × 73¹ × 113¹
LCM(41225,41245) = 340065025