What is the Least Common Multiple of 29504 and 29510?

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 of 29504 and 29510 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29504 and 29510, than apply into the LCM equation.

GCF(29504,29510) = 2
LCM(29504,29510) = ( 29504 × 29510) / 2
LCM(29504,29510) = 870663040 / 2
LCM(29504,29510) = 435331520

Least Common Multiple (LCM) of 29504 and 29510 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29504 and 29510. First we will calculate the prime factors of 29504 and 29510.

Prime Factorization of 29504

Prime Factorization of 29510

Now multiplying the highest exponent prime factors to calculate the LCM of 29504 and 29510.

LCM(29504,29510) = 2⁶ × 461¹ × 5¹ × 13¹ × 227¹
LCM(29504,29510) = 435331520