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What is the Least Common Multiple of 30524 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 (LCM) of 30524 and 30528 is 232959168.

LCM(30524,30528) = 232959168

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Least Common Multiple of 30524 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 30524 and 30528, than apply into the LCM equation.

GCF(30524,30528) = 4
LCM(30524,30528) = ( 30524 × 30528) / 4
LCM(30524,30528) = 931836672 / 4
LCM(30524,30528) = 232959168

Least Common Multiple (LCM) of 30524 and 30528 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30524 and 30528. First we will calculate the prime factors of 30524 and 30528.

Prime Factorization of 30524

Prime factors of 30524 are 2, 13, 587. Prime factorization of 30524 in exponential form is:

30524 = 22 × 131 × 5871

Prime Factorization of 30528

Prime factors of 30528 are 2, 3, 53. Prime factorization of 30528 in exponential form is:

30528 = 26 × 32 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 30524 and 30528.

LCM(30524,30528) = 26 × 131 × 5871 × 32 × 531
LCM(30524,30528) = 232959168