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What is the Least Common Multiple of 30226 and 30241?

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 30226 and 30241 is 914064466.

LCM(30226,30241) = 914064466

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Least Common Multiple of 30226 and 30241 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30226 and 30241, than apply into the LCM equation.

GCF(30226,30241) = 1
LCM(30226,30241) = ( 30226 × 30241) / 1
LCM(30226,30241) = 914064466 / 1
LCM(30226,30241) = 914064466

Least Common Multiple (LCM) of 30226 and 30241 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30226 and 30241. First we will calculate the prime factors of 30226 and 30241.

Prime Factorization of 30226

Prime factors of 30226 are 2, 7, 17, 127. Prime factorization of 30226 in exponential form is:

30226 = 21 × 71 × 171 × 1271

Prime Factorization of 30241

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

30241 = 302411

Now multiplying the highest exponent prime factors to calculate the LCM of 30226 and 30241.

LCM(30226,30241) = 21 × 71 × 171 × 1271 × 302411
LCM(30226,30241) = 914064466