What is the Least Common Multiple of 29335 and 29340?

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 29335 and 29340 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29335 and 29340, than apply into the LCM equation.

GCF(29335,29340) = 5
LCM(29335,29340) = ( 29335 × 29340) / 5
LCM(29335,29340) = 860688900 / 5
LCM(29335,29340) = 172137780

Least Common Multiple (LCM) of 29335 and 29340 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29335 and 29340. First we will calculate the prime factors of 29335 and 29340.

Prime Factorization of 29335

Prime Factorization of 29340

Now multiplying the highest exponent prime factors to calculate the LCM of 29335 and 29340.

LCM(29335,29340) = 5¹ × 5867¹ × 2² × 3² × 163¹
LCM(29335,29340) = 172137780