GCF and LCM Calculator Logo

What is the Least Common Multiple of 41038 and 41043?

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 41038 and 41043 is 1684322634.

LCM(41038,41043) = 1684322634

LCM Calculator and
and

Least Common Multiple of 41038 and 41043 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41038 and 41043, than apply into the LCM equation.

GCF(41038,41043) = 1
LCM(41038,41043) = ( 41038 × 41043) / 1
LCM(41038,41043) = 1684322634 / 1
LCM(41038,41043) = 1684322634

Least Common Multiple (LCM) of 41038 and 41043 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41038 and 41043. First we will calculate the prime factors of 41038 and 41043.

Prime Factorization of 41038

Prime factors of 41038 are 2, 17, 71. Prime factorization of 41038 in exponential form is:

41038 = 21 × 172 × 711

Prime Factorization of 41043

Prime factors of 41043 are 3, 13681. Prime factorization of 41043 in exponential form is:

41043 = 31 × 136811

Now multiplying the highest exponent prime factors to calculate the LCM of 41038 and 41043.

LCM(41038,41043) = 21 × 172 × 711 × 31 × 136811
LCM(41038,41043) = 1684322634