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What is the Least Common Multiple of 30434 and 30450?

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 30434 and 30450 is 463357650.

LCM(30434,30450) = 463357650

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Least Common Multiple of 30434 and 30450 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30434 and 30450, than apply into the LCM equation.

GCF(30434,30450) = 2
LCM(30434,30450) = ( 30434 × 30450) / 2
LCM(30434,30450) = 926715300 / 2
LCM(30434,30450) = 463357650

Least Common Multiple (LCM) of 30434 and 30450 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30434 and 30450. First we will calculate the prime factors of 30434 and 30450.

Prime Factorization of 30434

Prime factors of 30434 are 2, 15217. Prime factorization of 30434 in exponential form is:

30434 = 21 × 152171

Prime Factorization of 30450

Prime factors of 30450 are 2, 3, 5, 7, 29. Prime factorization of 30450 in exponential form is:

30450 = 21 × 31 × 52 × 71 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 30434 and 30450.

LCM(30434,30450) = 21 × 152171 × 31 × 52 × 71 × 291
LCM(30434,30450) = 463357650