What is the Least Common Multiple of 41109 and 41123?

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 41109 and 41123 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41109 and 41123, than apply into the LCM equation.

GCF(41109,41123) = 1
LCM(41109,41123) = ( 41109 × 41123) / 1
LCM(41109,41123) = 1690525407 / 1
LCM(41109,41123) = 1690525407

Least Common Multiple (LCM) of 41109 and 41123 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41109 and 41123. First we will calculate the prime factors of 41109 and 41123.

Prime Factorization of 41109

Prime Factorization of 41123

Now multiplying the highest exponent prime factors to calculate the LCM of 41109 and 41123.

LCM(41109,41123) = 3¹ × 71¹ × 193¹ × 17¹ × 41¹ × 59¹
LCM(41109,41123) = 1690525407