GCF and LCM Calculator Logo

What is the Least Common Multiple of 29514 and 29533?

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 29514 and 29533 is 871636962.

LCM(29514,29533) = 871636962

LCM Calculator and
and

Least Common Multiple of 29514 and 29533 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29514 and 29533, than apply into the LCM equation.

GCF(29514,29533) = 1
LCM(29514,29533) = ( 29514 × 29533) / 1
LCM(29514,29533) = 871636962 / 1
LCM(29514,29533) = 871636962

Least Common Multiple (LCM) of 29514 and 29533 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29514 and 29533. First we will calculate the prime factors of 29514 and 29533.

Prime Factorization of 29514

Prime factors of 29514 are 2, 3, 4919. Prime factorization of 29514 in exponential form is:

29514 = 21 × 31 × 49191

Prime Factorization of 29533

Prime factors of 29533 are 7, 4219. Prime factorization of 29533 in exponential form is:

29533 = 71 × 42191

Now multiplying the highest exponent prime factors to calculate the LCM of 29514 and 29533.

LCM(29514,29533) = 21 × 31 × 49191 × 71 × 42191
LCM(29514,29533) = 871636962