GCF and LCM Calculator Logo

What is the Least Common Multiple of 29485 and 29493?

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 29485 and 29493 is 869601105.

LCM(29485,29493) = 869601105

LCM Calculator and
and

Least Common Multiple of 29485 and 29493 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29485 and 29493, than apply into the LCM equation.

GCF(29485,29493) = 1
LCM(29485,29493) = ( 29485 × 29493) / 1
LCM(29485,29493) = 869601105 / 1
LCM(29485,29493) = 869601105

Least Common Multiple (LCM) of 29485 and 29493 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29485 and 29493. First we will calculate the prime factors of 29485 and 29493.

Prime Factorization of 29485

Prime factors of 29485 are 5, 5897. Prime factorization of 29485 in exponential form is:

29485 = 51 × 58971

Prime Factorization of 29493

Prime factors of 29493 are 3, 29, 113. Prime factorization of 29493 in exponential form is:

29493 = 32 × 291 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 29485 and 29493.

LCM(29485,29493) = 51 × 58971 × 32 × 291 × 1131
LCM(29485,29493) = 869601105