What is the Least Common Multiple of 29358 and 29370?

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 29358 and 29370 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29358 and 29370, than apply into the LCM equation.

GCF(29358,29370) = 6
LCM(29358,29370) = ( 29358 × 29370) / 6
LCM(29358,29370) = 862244460 / 6
LCM(29358,29370) = 143707410

Least Common Multiple (LCM) of 29358 and 29370 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29358 and 29370. First we will calculate the prime factors of 29358 and 29370.

Prime Factorization of 29358

Prime Factorization of 29370

Now multiplying the highest exponent prime factors to calculate the LCM of 29358 and 29370.

LCM(29358,29370) = 2¹ × 3² × 7¹ × 233¹ × 5¹ × 11¹ × 89¹
LCM(29358,29370) = 143707410