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What is the Least Common Multiple of 30241 and 30258?

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 30241 and 30258 is 915032178.

LCM(30241,30258) = 915032178

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Least Common Multiple of 30241 and 30258 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30241 and 30258, than apply into the LCM equation.

GCF(30241,30258) = 1
LCM(30241,30258) = ( 30241 × 30258) / 1
LCM(30241,30258) = 915032178 / 1
LCM(30241,30258) = 915032178

Least Common Multiple (LCM) of 30241 and 30258 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30241 and 30258. First we will calculate the prime factors of 30241 and 30258.

Prime Factorization of 30241

Prime factors of 30241 are 30241. Prime factorization of 30241 in exponential form is:

30241 = 302411

Prime Factorization of 30258

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

30258 = 21 × 32 × 412

Now multiplying the highest exponent prime factors to calculate the LCM of 30241 and 30258.

LCM(30241,30258) = 302411 × 21 × 32 × 412
LCM(30241,30258) = 915032178