What is the Least Common Multiple of 41265 and 41275?

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 41265 and 41275 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41265 and 41275, than apply into the LCM equation.

GCF(41265,41275) = 5
LCM(41265,41275) = ( 41265 × 41275) / 5
LCM(41265,41275) = 1703212875 / 5
LCM(41265,41275) = 340642575

Least Common Multiple (LCM) of 41265 and 41275 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41265 and 41275. First we will calculate the prime factors of 41265 and 41275.

Prime Factorization of 41265

Prime Factorization of 41275

Now multiplying the highest exponent prime factors to calculate the LCM of 41265 and 41275.

LCM(41265,41275) = 3² × 5² × 7¹ × 131¹ × 13¹ × 127¹
LCM(41265,41275) = 340642575