GCF and LCM Calculator Logo

What is the Least Common Multiple of 41360 and 41379?

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 41360 and 41379 is 1711435440.

LCM(41360,41379) = 1711435440

LCM Calculator and
and

Least Common Multiple of 41360 and 41379 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41360 and 41379, than apply into the LCM equation.

GCF(41360,41379) = 1
LCM(41360,41379) = ( 41360 × 41379) / 1
LCM(41360,41379) = 1711435440 / 1
LCM(41360,41379) = 1711435440

Least Common Multiple (LCM) of 41360 and 41379 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41360 and 41379. First we will calculate the prime factors of 41360 and 41379.

Prime Factorization of 41360

Prime factors of 41360 are 2, 5, 11, 47. Prime factorization of 41360 in exponential form is:

41360 = 24 × 51 × 111 × 471

Prime Factorization of 41379

Prime factors of 41379 are 3, 13, 1061. Prime factorization of 41379 in exponential form is:

41379 = 31 × 131 × 10611

Now multiplying the highest exponent prime factors to calculate the LCM of 41360 and 41379.

LCM(41360,41379) = 24 × 51 × 111 × 471 × 31 × 131 × 10611
LCM(41360,41379) = 1711435440