What is the Least Common Multiple of 30519 and 30534?

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 30519 and 30534 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30519 and 30534, than apply into the LCM equation.

GCF(30519,30534) = 3
LCM(30519,30534) = ( 30519 × 30534) / 3
LCM(30519,30534) = 931867146 / 3
LCM(30519,30534) = 310622382

Least Common Multiple (LCM) of 30519 and 30534 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30519 and 30534. First we will calculate the prime factors of 30519 and 30534.

Prime Factorization of 30519

Prime Factorization of 30534

Now multiplying the highest exponent prime factors to calculate the LCM of 30519 and 30534.

LCM(30519,30534) = 3² × 3391¹ × 2¹ × 7¹ × 727¹
LCM(30519,30534) = 310622382