What is the Least Common Multiple of 41088 and 41097?

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 41088 and 41097 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41088 and 41097, than apply into the LCM equation.

GCF(41088,41097) = 3
LCM(41088,41097) = ( 41088 × 41097) / 3
LCM(41088,41097) = 1688593536 / 3
LCM(41088,41097) = 562864512

Least Common Multiple (LCM) of 41088 and 41097 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41088 and 41097. First we will calculate the prime factors of 41088 and 41097.

Prime Factorization of 41088

Prime Factorization of 41097

Now multiplying the highest exponent prime factors to calculate the LCM of 41088 and 41097.

LCM(41088,41097) = 2⁷ × 3¹ × 107¹ × 7¹ × 19¹ × 103¹
LCM(41088,41097) = 562864512