What is the Least Common Multiple of 29320 and 29326?

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 29320 and 29326 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29320 and 29326, than apply into the LCM equation.

GCF(29320,29326) = 2
LCM(29320,29326) = ( 29320 × 29326) / 2
LCM(29320,29326) = 859838320 / 2
LCM(29320,29326) = 429919160

Least Common Multiple (LCM) of 29320 and 29326 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29320 and 29326. First we will calculate the prime factors of 29320 and 29326.

Prime Factorization of 29320

Prime Factorization of 29326

Now multiplying the highest exponent prime factors to calculate the LCM of 29320 and 29326.

LCM(29320,29326) = 2³ × 5¹ × 733¹ × 11¹ × 31¹ × 43¹
LCM(29320,29326) = 429919160