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What is the Least Common Multiple of 30253 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 30253 and 30269 is 915728057.

LCM(30253,30269) = 915728057

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Least Common Multiple of 30253 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 30253 and 30269, than apply into the LCM equation.

GCF(30253,30269) = 1
LCM(30253,30269) = ( 30253 × 30269) / 1
LCM(30253,30269) = 915728057 / 1
LCM(30253,30269) = 915728057

Least Common Multiple (LCM) of 30253 and 30269 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30253 and 30269. First we will calculate the prime factors of 30253 and 30269.

Prime Factorization of 30253

Prime factors of 30253 are 30253. Prime factorization of 30253 in exponential form is:

30253 = 302531

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 30253 and 30269.

LCM(30253,30269) = 302531 × 302691
LCM(30253,30269) = 915728057