GCF and LCM Calculator Logo

What is the Least Common Multiple of 41071 and 41090?

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 41071 and 41090 is 1687607390.

LCM(41071,41090) = 1687607390

LCM Calculator and
and

Least Common Multiple of 41071 and 41090 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41071 and 41090, than apply into the LCM equation.

GCF(41071,41090) = 1
LCM(41071,41090) = ( 41071 × 41090) / 1
LCM(41071,41090) = 1687607390 / 1
LCM(41071,41090) = 1687607390

Least Common Multiple (LCM) of 41071 and 41090 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41071 and 41090. First we will calculate the prime factors of 41071 and 41090.

Prime Factorization of 41071

Prime factors of 41071 are 67, 613. Prime factorization of 41071 in exponential form is:

41071 = 671 × 6131

Prime Factorization of 41090

Prime factors of 41090 are 2, 5, 7, 587. Prime factorization of 41090 in exponential form is:

41090 = 21 × 51 × 71 × 5871

Now multiplying the highest exponent prime factors to calculate the LCM of 41071 and 41090.

LCM(41071,41090) = 671 × 6131 × 21 × 51 × 71 × 5871
LCM(41071,41090) = 1687607390