What is the Least Common Multiple of 41275 and 41288?

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 41275 and 41288 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41275 and 41288, than apply into the LCM equation.

GCF(41275,41288) = 13
LCM(41275,41288) = ( 41275 × 41288) / 13
LCM(41275,41288) = 1704162200 / 13
LCM(41275,41288) = 131089400

Least Common Multiple (LCM) of 41275 and 41288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41275 and 41288. First we will calculate the prime factors of 41275 and 41288.

Prime Factorization of 41275

Prime Factorization of 41288

Now multiplying the highest exponent prime factors to calculate the LCM of 41275 and 41288.

LCM(41275,41288) = 5² × 13¹ × 127¹ × 2³ × 397¹
LCM(41275,41288) = 131089400