GCF and LCM Calculator Logo

What is the Least Common Multiple of 29530 and 29538?

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 29530 and 29538 is 436128570.

LCM(29530,29538) = 436128570

LCM Calculator and
and

Least Common Multiple of 29530 and 29538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29530 and 29538, than apply into the LCM equation.

GCF(29530,29538) = 2
LCM(29530,29538) = ( 29530 × 29538) / 2
LCM(29530,29538) = 872257140 / 2
LCM(29530,29538) = 436128570

Least Common Multiple (LCM) of 29530 and 29538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29530 and 29538. First we will calculate the prime factors of 29530 and 29538.

Prime Factorization of 29530

Prime factors of 29530 are 2, 5, 2953. Prime factorization of 29530 in exponential form is:

29530 = 21 × 51 × 29531

Prime Factorization of 29538

Prime factors of 29538 are 2, 3, 547. Prime factorization of 29538 in exponential form is:

29538 = 21 × 33 × 5471

Now multiplying the highest exponent prime factors to calculate the LCM of 29530 and 29538.

LCM(29530,29538) = 21 × 51 × 29531 × 33 × 5471
LCM(29530,29538) = 436128570