What is the Least Common Multiple of 29509 and 29521?

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 29509 and 29521 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29509 and 29521, than apply into the LCM equation.

GCF(29509,29521) = 1
LCM(29509,29521) = ( 29509 × 29521) / 1
LCM(29509,29521) = 871135189 / 1
LCM(29509,29521) = 871135189

Least Common Multiple (LCM) of 29509 and 29521 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29509 and 29521. First we will calculate the prime factors of 29509 and 29521.

Prime Factorization of 29509

Prime Factorization of 29521

Now multiplying the highest exponent prime factors to calculate the LCM of 29509 and 29521.

LCM(29509,29521) = 23¹ × 1283¹ × 53¹ × 557¹
LCM(29509,29521) = 871135189