What is the Least Common Multiple of 29345 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 29345 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 29345 and 29358, than apply into the LCM equation.

GCF(29345,29358) = 1
LCM(29345,29358) = ( 29345 × 29358) / 1
LCM(29345,29358) = 861510510 / 1
LCM(29345,29358) = 861510510

Least Common Multiple (LCM) of 29345 and 29358 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29345 and 29358. First we will calculate the prime factors of 29345 and 29358.

Prime Factorization of 29345

Prime Factorization of 29358

Now multiplying the highest exponent prime factors to calculate the LCM of 29345 and 29358.

LCM(29345,29358) = 5¹ × 5869¹ × 2¹ × 3² × 7¹ × 233¹
LCM(29345,29358) = 861510510