What is the Least Common Multiple of 29302 and 29320?

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 29302 and 29320 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29302 and 29320, than apply into the LCM equation.

GCF(29302,29320) = 2
LCM(29302,29320) = ( 29302 × 29320) / 2
LCM(29302,29320) = 859134640 / 2
LCM(29302,29320) = 429567320

Least Common Multiple (LCM) of 29302 and 29320 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29302 and 29320. First we will calculate the prime factors of 29302 and 29320.

Prime Factorization of 29302

Prime Factorization of 29320

Now multiplying the highest exponent prime factors to calculate the LCM of 29302 and 29320.

LCM(29302,29320) = 2³ × 7² × 13¹ × 23¹ × 5¹ × 733¹
LCM(29302,29320) = 429567320