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What is the Least Common Multiple of 30254 and 30269?

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 30254 and 30269 is 915758326.

LCM(30254,30269) = 915758326

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Least Common Multiple of 30254 and 30269 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30254 and 30269, than apply into the LCM equation.

GCF(30254,30269) = 1
LCM(30254,30269) = ( 30254 × 30269) / 1
LCM(30254,30269) = 915758326 / 1
LCM(30254,30269) = 915758326

Least Common Multiple (LCM) of 30254 and 30269 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30254 and 30269. First we will calculate the prime factors of 30254 and 30269.

Prime Factorization of 30254

Prime factors of 30254 are 2, 7, 2161. Prime factorization of 30254 in exponential form is:

30254 = 21 × 71 × 21611

Prime Factorization of 30269

Prime factors of 30269 are 30269. Prime factorization of 30269 in exponential form is:

30269 = 302691

Now multiplying the highest exponent prime factors to calculate the LCM of 30254 and 30269.

LCM(30254,30269) = 21 × 71 × 21611 × 302691
LCM(30254,30269) = 915758326