What is the Least Common Multiple of 29330 and 29349?

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 29349 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 29349, than apply into the LCM equation.

GCF(29330,29349) = 1
LCM(29330,29349) = ( 29330 × 29349) / 1
LCM(29330,29349) = 860806170 / 1
LCM(29330,29349) = 860806170

Least Common Multiple (LCM) of 29330 and 29349 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29330 and 29349. First we will calculate the prime factors of 29330 and 29349.

Prime Factorization of 29330

Prime Factorization of 29349

Now multiplying the highest exponent prime factors to calculate the LCM of 29330 and 29349.

LCM(29330,29349) = 2¹ × 5¹ × 7¹ × 419¹ × 3³ × 1087¹
LCM(29330,29349) = 860806170