What is the Least Common Multiple of 41905 and 41923?

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 41905 and 41923 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41905 and 41923, than apply into the LCM equation.

GCF(41905,41923) = 1
LCM(41905,41923) = ( 41905 × 41923) / 1
LCM(41905,41923) = 1756783315 / 1
LCM(41905,41923) = 1756783315

Least Common Multiple (LCM) of 41905 and 41923 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41905 and 41923. First we will calculate the prime factors of 41905 and 41923.

Prime Factorization of 41905

Prime Factorization of 41923

Now multiplying the highest exponent prime factors to calculate the LCM of 41905 and 41923.

LCM(41905,41923) = 5¹ × 17² × 29¹ × 7¹ × 53¹ × 113¹
LCM(41905,41923) = 1756783315