What is the Least Common Multiple of 29340 and 29358?

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 29340 and 29358 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29340 and 29358, than apply into the LCM equation.

GCF(29340,29358) = 18
LCM(29340,29358) = ( 29340 × 29358) / 18
LCM(29340,29358) = 861363720 / 18
LCM(29340,29358) = 47853540

Least Common Multiple (LCM) of 29340 and 29358 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29340 and 29358. First we will calculate the prime factors of 29340 and 29358.

Prime Factorization of 29340

Prime Factorization of 29358

Now multiplying the highest exponent prime factors to calculate the LCM of 29340 and 29358.

LCM(29340,29358) = 2² × 3² × 5¹ × 163¹ × 7¹ × 233¹
LCM(29340,29358) = 47853540