GCF and LCM Calculator Logo

What is the Least Common Multiple of 7411 and 7423?

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 7411 and 7423 is 55011853.

LCM(7411,7423) = 55011853

LCM Calculator and
and

Least Common Multiple of 7411 and 7423 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7411 and 7423, than apply into the LCM equation.

GCF(7411,7423) = 1
LCM(7411,7423) = ( 7411 × 7423) / 1
LCM(7411,7423) = 55011853 / 1
LCM(7411,7423) = 55011853

Least Common Multiple (LCM) of 7411 and 7423 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7411 and 7423. First we will calculate the prime factors of 7411 and 7423.

Prime Factorization of 7411

Prime factors of 7411 are 7411. Prime factorization of 7411 in exponential form is:

7411 = 74111

Prime Factorization of 7423

Prime factors of 7423 are 13, 571. Prime factorization of 7423 in exponential form is:

7423 = 131 × 5711

Now multiplying the highest exponent prime factors to calculate the LCM of 7411 and 7423.

LCM(7411,7423) = 74111 × 131 × 5711
LCM(7411,7423) = 55011853