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What is the Least Common Multiple of 57261 and 57269?

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 57261 and 57269 is 3279280209.

LCM(57261,57269) = 3279280209

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Least Common Multiple of 57261 and 57269 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57261 and 57269, than apply into the LCM equation.

GCF(57261,57269) = 1
LCM(57261,57269) = ( 57261 × 57269) / 1
LCM(57261,57269) = 3279280209 / 1
LCM(57261,57269) = 3279280209

Least Common Multiple (LCM) of 57261 and 57269 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57261 and 57269. First we will calculate the prime factors of 57261 and 57269.

Prime Factorization of 57261

Prime factors of 57261 are 3, 19087. Prime factorization of 57261 in exponential form is:

57261 = 31 × 190871

Prime Factorization of 57269

Prime factors of 57269 are 57269. Prime factorization of 57269 in exponential form is:

57269 = 572691

Now multiplying the highest exponent prime factors to calculate the LCM of 57261 and 57269.

LCM(57261,57269) = 31 × 190871 × 572691
LCM(57261,57269) = 3279280209