GCF and LCM Calculator Logo

What is the Least Common Multiple of 29037 and 29054?

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 29037 and 29054 is 843640998.

LCM(29037,29054) = 843640998

LCM Calculator and
and

Least Common Multiple of 29037 and 29054 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29037 and 29054, than apply into the LCM equation.

GCF(29037,29054) = 1
LCM(29037,29054) = ( 29037 × 29054) / 1
LCM(29037,29054) = 843640998 / 1
LCM(29037,29054) = 843640998

Least Common Multiple (LCM) of 29037 and 29054 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29037 and 29054. First we will calculate the prime factors of 29037 and 29054.

Prime Factorization of 29037

Prime factors of 29037 are 3, 9679. Prime factorization of 29037 in exponential form is:

29037 = 31 × 96791

Prime Factorization of 29054

Prime factors of 29054 are 2, 73, 199. Prime factorization of 29054 in exponential form is:

29054 = 21 × 731 × 1991

Now multiplying the highest exponent prime factors to calculate the LCM of 29037 and 29054.

LCM(29037,29054) = 31 × 96791 × 21 × 731 × 1991
LCM(29037,29054) = 843640998