GCF and LCM Calculator Logo

What is the Least Common Multiple of 29510 and 29523?

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 29510 and 29523 is 67017210.

LCM(29510,29523) = 67017210

LCM Calculator and
and

Least Common Multiple of 29510 and 29523 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29510 and 29523, than apply into the LCM equation.

GCF(29510,29523) = 13
LCM(29510,29523) = ( 29510 × 29523) / 13
LCM(29510,29523) = 871223730 / 13
LCM(29510,29523) = 67017210

Least Common Multiple (LCM) of 29510 and 29523 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29510 and 29523. First we will calculate the prime factors of 29510 and 29523.

Prime Factorization of 29510

Prime factors of 29510 are 2, 5, 13, 227. Prime factorization of 29510 in exponential form is:

29510 = 21 × 51 × 131 × 2271

Prime Factorization of 29523

Prime factors of 29523 are 3, 13, 757. Prime factorization of 29523 in exponential form is:

29523 = 31 × 131 × 7571

Now multiplying the highest exponent prime factors to calculate the LCM of 29510 and 29523.

LCM(29510,29523) = 21 × 51 × 131 × 2271 × 31 × 7571
LCM(29510,29523) = 67017210