What is the Least Common Multiple of 29358 and 29369?

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 29369 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 29369, than apply into the LCM equation.

GCF(29358,29369) = 1
LCM(29358,29369) = ( 29358 × 29369) / 1
LCM(29358,29369) = 862215102 / 1
LCM(29358,29369) = 862215102

Least Common Multiple (LCM) of 29358 and 29369 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29358 and 29369. First we will calculate the prime factors of 29358 and 29369.

Prime Factorization of 29358

Prime Factorization of 29369

Now multiplying the highest exponent prime factors to calculate the LCM of 29358 and 29369.

LCM(29358,29369) = 2¹ × 3² × 7¹ × 233¹ × 43¹ × 683¹
LCM(29358,29369) = 862215102