What is the Least Common Multiple of 29358 and 29371?

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 29371 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 29371, than apply into the LCM equation.

GCF(29358,29371) = 1
LCM(29358,29371) = ( 29358 × 29371) / 1
LCM(29358,29371) = 862273818 / 1
LCM(29358,29371) = 862273818

Least Common Multiple (LCM) of 29358 and 29371 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29358 and 29371. First we will calculate the prime factors of 29358 and 29371.

Prime Factorization of 29358

Prime Factorization of 29371

Now multiplying the highest exponent prime factors to calculate the LCM of 29358 and 29371.

LCM(29358,29371) = 2¹ × 3² × 7¹ × 233¹ × 23¹ × 1277¹
LCM(29358,29371) = 862273818