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What is the Least Common Multiple of 30430 and 30440?

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 30430 and 30440 is 92628920.

LCM(30430,30440) = 92628920

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Least Common Multiple of 30430 and 30440 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30430 and 30440, than apply into the LCM equation.

GCF(30430,30440) = 10
LCM(30430,30440) = ( 30430 × 30440) / 10
LCM(30430,30440) = 926289200 / 10
LCM(30430,30440) = 92628920

Least Common Multiple (LCM) of 30430 and 30440 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30430 and 30440. First we will calculate the prime factors of 30430 and 30440.

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

Prime Factorization of 30440

Prime factors of 30440 are 2, 5, 761. Prime factorization of 30440 in exponential form is:

30440 = 23 × 51 × 7611

Now multiplying the highest exponent prime factors to calculate the LCM of 30430 and 30440.

LCM(30430,30440) = 23 × 51 × 171 × 1791 × 7611
LCM(30430,30440) = 92628920