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What is the Least Common Multiple of 30258 and 30274?

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 30258 and 30274 is 458015346.

LCM(30258,30274) = 458015346

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Least Common Multiple of 30258 and 30274 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30258 and 30274, than apply into the LCM equation.

GCF(30258,30274) = 2
LCM(30258,30274) = ( 30258 × 30274) / 2
LCM(30258,30274) = 916030692 / 2
LCM(30258,30274) = 458015346

Least Common Multiple (LCM) of 30258 and 30274 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30258 and 30274. First we will calculate the prime factors of 30258 and 30274.

Prime Factorization of 30258

Prime factors of 30258 are 2, 3, 41. Prime factorization of 30258 in exponential form is:

30258 = 21 × 32 × 412

Prime Factorization of 30274

Prime factors of 30274 are 2, 15137. Prime factorization of 30274 in exponential form is:

30274 = 21 × 151371

Now multiplying the highest exponent prime factors to calculate the LCM of 30258 and 30274.

LCM(30258,30274) = 21 × 32 × 412 × 151371
LCM(30258,30274) = 458015346