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What is the Least Common Multiple of 30334 and 30342?

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 30334 and 30342 is 460197114.

LCM(30334,30342) = 460197114

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Least Common Multiple of 30334 and 30342 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30334 and 30342, than apply into the LCM equation.

GCF(30334,30342) = 2
LCM(30334,30342) = ( 30334 × 30342) / 2
LCM(30334,30342) = 920394228 / 2
LCM(30334,30342) = 460197114

Least Common Multiple (LCM) of 30334 and 30342 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30334 and 30342. First we will calculate the prime factors of 30334 and 30342.

Prime Factorization of 30334

Prime factors of 30334 are 2, 29, 523. Prime factorization of 30334 in exponential form is:

30334 = 21 × 291 × 5231

Prime Factorization of 30342

Prime factors of 30342 are 2, 3, 13, 389. Prime factorization of 30342 in exponential form is:

30342 = 21 × 31 × 131 × 3891

Now multiplying the highest exponent prime factors to calculate the LCM of 30334 and 30342.

LCM(30334,30342) = 21 × 291 × 5231 × 31 × 131 × 3891
LCM(30334,30342) = 460197114