GCF and LCM Calculator Logo

What is the Least Common Multiple of 29381 and 29391?

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 29381 and 29391 is 863536971.

LCM(29381,29391) = 863536971

LCM Calculator and
and

Least Common Multiple of 29381 and 29391 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29381 and 29391, than apply into the LCM equation.

GCF(29381,29391) = 1
LCM(29381,29391) = ( 29381 × 29391) / 1
LCM(29381,29391) = 863536971 / 1
LCM(29381,29391) = 863536971

Least Common Multiple (LCM) of 29381 and 29391 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29381 and 29391. First we will calculate the prime factors of 29381 and 29391.

Prime Factorization of 29381

Prime factors of 29381 are 11, 2671. Prime factorization of 29381 in exponential form is:

29381 = 111 × 26711

Prime Factorization of 29391

Prime factors of 29391 are 3, 97, 101. Prime factorization of 29391 in exponential form is:

29391 = 31 × 971 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 29381 and 29391.

LCM(29381,29391) = 111 × 26711 × 31 × 971 × 1011
LCM(29381,29391) = 863536971