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What is the Least Common Multiple of 30428 and 30432?

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 30428 and 30432 is 231496224.

LCM(30428,30432) = 231496224

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Least Common Multiple of 30428 and 30432 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30428 and 30432, than apply into the LCM equation.

GCF(30428,30432) = 4
LCM(30428,30432) = ( 30428 × 30432) / 4
LCM(30428,30432) = 925984896 / 4
LCM(30428,30432) = 231496224

Least Common Multiple (LCM) of 30428 and 30432 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30428 and 30432. First we will calculate the prime factors of 30428 and 30432.

Prime Factorization of 30428

Prime factors of 30428 are 2, 7607. Prime factorization of 30428 in exponential form is:

30428 = 22 × 76071

Prime Factorization of 30432

Prime factors of 30432 are 2, 3, 317. Prime factorization of 30432 in exponential form is:

30432 = 25 × 31 × 3171

Now multiplying the highest exponent prime factors to calculate the LCM of 30428 and 30432.

LCM(30428,30432) = 25 × 76071 × 31 × 3171
LCM(30428,30432) = 231496224