What is the Least Common Multiple of 29250 and 29264?

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 29250 and 29264 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29250 and 29264, than apply into the LCM equation.

GCF(29250,29264) = 2
LCM(29250,29264) = ( 29250 × 29264) / 2
LCM(29250,29264) = 855972000 / 2
LCM(29250,29264) = 427986000

Least Common Multiple (LCM) of 29250 and 29264 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29250 and 29264. First we will calculate the prime factors of 29250 and 29264.

Prime Factorization of 29250

Prime Factorization of 29264

Now multiplying the highest exponent prime factors to calculate the LCM of 29250 and 29264.

LCM(29250,29264) = 2⁴ × 3² × 5³ × 13¹ × 31¹ × 59¹
LCM(29250,29264) = 427986000