What is the Least Common Multiple of 29330 and 29350?

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 29330 and 29350 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29330 and 29350, than apply into the LCM equation.

GCF(29330,29350) = 10
LCM(29330,29350) = ( 29330 × 29350) / 10
LCM(29330,29350) = 860835500 / 10
LCM(29330,29350) = 86083550

Least Common Multiple (LCM) of 29330 and 29350 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29330 and 29350. First we will calculate the prime factors of 29330 and 29350.

Prime Factorization of 29330

Prime Factorization of 29350

Now multiplying the highest exponent prime factors to calculate the LCM of 29330 and 29350.

LCM(29330,29350) = 2¹ × 5² × 7¹ × 419¹ × 587¹
LCM(29330,29350) = 86083550