What is the Least Common Multiple of 30509 and 30521?

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 30509 and 30521 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30509 and 30521, than apply into the LCM equation.

GCF(30509,30521) = 1
LCM(30509,30521) = ( 30509 × 30521) / 1
LCM(30509,30521) = 931165189 / 1
LCM(30509,30521) = 931165189

Least Common Multiple (LCM) of 30509 and 30521 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30509 and 30521. First we will calculate the prime factors of 30509 and 30521.

Prime Factorization of 30509

Prime Factorization of 30521

Now multiplying the highest exponent prime factors to calculate the LCM of 30509 and 30521.

LCM(30509,30521) = 30509¹ × 23¹ × 1327¹
LCM(30509,30521) = 931165189