What is the Least Common Multiple of 30513 and 30528?

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 30513 and 30528 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30513 and 30528, than apply into the LCM equation.

GCF(30513,30528) = 3
LCM(30513,30528) = ( 30513 × 30528) / 3
LCM(30513,30528) = 931500864 / 3
LCM(30513,30528) = 310500288

Least Common Multiple (LCM) of 30513 and 30528 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30513 and 30528. First we will calculate the prime factors of 30513 and 30528.

Prime Factorization of 30513

Prime Factorization of 30528

Now multiplying the highest exponent prime factors to calculate the LCM of 30513 and 30528.

LCM(30513,30528) = 3² × 7¹ × 1453¹ × 2⁶ × 53¹
LCM(30513,30528) = 310500288