GCF and LCM Calculator Logo

What is the Least Common Multiple of 29874 and 29893?

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 29874 and 29893 is 893023482.

LCM(29874,29893) = 893023482

LCM Calculator and
and

Least Common Multiple of 29874 and 29893 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29874 and 29893, than apply into the LCM equation.

GCF(29874,29893) = 1
LCM(29874,29893) = ( 29874 × 29893) / 1
LCM(29874,29893) = 893023482 / 1
LCM(29874,29893) = 893023482

Least Common Multiple (LCM) of 29874 and 29893 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29874 and 29893. First we will calculate the prime factors of 29874 and 29893.

Prime Factorization of 29874

Prime factors of 29874 are 2, 3, 13, 383. Prime factorization of 29874 in exponential form is:

29874 = 21 × 31 × 131 × 3831

Prime Factorization of 29893

Prime factors of 29893 are 167, 179. Prime factorization of 29893 in exponential form is:

29893 = 1671 × 1791

Now multiplying the highest exponent prime factors to calculate the LCM of 29874 and 29893.

LCM(29874,29893) = 21 × 31 × 131 × 3831 × 1671 × 1791
LCM(29874,29893) = 893023482