What is the Least Common Multiple of 30498 and 30517?

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 30498 and 30517 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30498 and 30517, than apply into the LCM equation.

GCF(30498,30517) = 1
LCM(30498,30517) = ( 30498 × 30517) / 1
LCM(30498,30517) = 930707466 / 1
LCM(30498,30517) = 930707466

Least Common Multiple (LCM) of 30498 and 30517 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30498 and 30517. First we will calculate the prime factors of 30498 and 30517.

Prime Factorization of 30498

Prime Factorization of 30517

Now multiplying the highest exponent prime factors to calculate the LCM of 30498 and 30517.

LCM(30498,30517) = 2¹ × 3¹ × 13¹ × 17¹ × 23¹ × 30517¹
LCM(30498,30517) = 930707466