What is the Least Common Multiple of 41148 and 41163?

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 41148 and 41163 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41148 and 41163, than apply into the LCM equation.

GCF(41148,41163) = 3
LCM(41148,41163) = ( 41148 × 41163) / 3
LCM(41148,41163) = 1693775124 / 3
LCM(41148,41163) = 564591708

Least Common Multiple (LCM) of 41148 and 41163 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41148 and 41163. First we will calculate the prime factors of 41148 and 41163.

Prime Factorization of 41148

Prime Factorization of 41163

Now multiplying the highest exponent prime factors to calculate the LCM of 41148 and 41163.

LCM(41148,41163) = 2² × 3⁴ × 127¹ × 13721¹
LCM(41148,41163) = 564591708