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What is the Least Common Multiple of 30412 and 30430?

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 30412 and 30430 is 462718580.

LCM(30412,30430) = 462718580

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Least Common Multiple of 30412 and 30430 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30412 and 30430, than apply into the LCM equation.

GCF(30412,30430) = 2
LCM(30412,30430) = ( 30412 × 30430) / 2
LCM(30412,30430) = 925437160 / 2
LCM(30412,30430) = 462718580

Least Common Multiple (LCM) of 30412 and 30430 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30412 and 30430. First we will calculate the prime factors of 30412 and 30430.

Prime Factorization of 30412

Prime factors of 30412 are 2, 7603. Prime factorization of 30412 in exponential form is:

30412 = 22 × 76031

Prime Factorization of 30430

Prime factors of 30430 are 2, 5, 17, 179. Prime factorization of 30430 in exponential form is:

30430 = 21 × 51 × 171 × 1791

Now multiplying the highest exponent prime factors to calculate the LCM of 30412 and 30430.

LCM(30412,30430) = 22 × 76031 × 51 × 171 × 1791
LCM(30412,30430) = 462718580