GCF and LCM Calculator Logo

What is the Least Common Multiple of 29377 and 29389?

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 29377 and 29389 is 863360653.

LCM(29377,29389) = 863360653

LCM Calculator and
and

Least Common Multiple of 29377 and 29389 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29377 and 29389, than apply into the LCM equation.

GCF(29377,29389) = 1
LCM(29377,29389) = ( 29377 × 29389) / 1
LCM(29377,29389) = 863360653 / 1
LCM(29377,29389) = 863360653

Least Common Multiple (LCM) of 29377 and 29389 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29377 and 29389. First we will calculate the prime factors of 29377 and 29389.

Prime Factorization of 29377

Prime factors of 29377 are 29, 1013. Prime factorization of 29377 in exponential form is:

29377 = 291 × 10131

Prime Factorization of 29389

Prime factors of 29389 are 29389. Prime factorization of 29389 in exponential form is:

29389 = 293891

Now multiplying the highest exponent prime factors to calculate the LCM of 29377 and 29389.

LCM(29377,29389) = 291 × 10131 × 293891
LCM(29377,29389) = 863360653