GCF and LCM Calculator Logo

What is the Least Common Multiple of 41926 and 41937?

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 (LCM) of 41926 and 41937 is 1758250662.

LCM(41926,41937) = 1758250662

LCM Calculator and
and

Least Common Multiple of 41926 and 41937 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41926 and 41937, than apply into the LCM equation.

GCF(41926,41937) = 1
LCM(41926,41937) = ( 41926 × 41937) / 1
LCM(41926,41937) = 1758250662 / 1
LCM(41926,41937) = 1758250662

Least Common Multiple (LCM) of 41926 and 41937 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41926 and 41937. First we will calculate the prime factors of 41926 and 41937.

Prime Factorization of 41926

Prime factors of 41926 are 2, 20963. Prime factorization of 41926 in exponential form is:

41926 = 21 × 209631

Prime Factorization of 41937

Prime factors of 41937 are 3, 7, 1997. Prime factorization of 41937 in exponential form is:

41937 = 31 × 71 × 19971

Now multiplying the highest exponent prime factors to calculate the LCM of 41926 and 41937.

LCM(41926,41937) = 21 × 209631 × 31 × 71 × 19971
LCM(41926,41937) = 1758250662