What is the Least Common Multiple of 29500 and 29514?

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 29500 and 29514 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29500 and 29514, than apply into the LCM equation.

GCF(29500,29514) = 2
LCM(29500,29514) = ( 29500 × 29514) / 2
LCM(29500,29514) = 870663000 / 2
LCM(29500,29514) = 435331500

Least Common Multiple (LCM) of 29500 and 29514 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29500 and 29514. First we will calculate the prime factors of 29500 and 29514.

Prime Factorization of 29500

Prime Factorization of 29514

Now multiplying the highest exponent prime factors to calculate the LCM of 29500 and 29514.

LCM(29500,29514) = 2² × 5³ × 59¹ × 3¹ × 4919¹
LCM(29500,29514) = 435331500