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What is the Least Common Multiple of 54258 and 54269?

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 54258 and 54269 is 2944527402.

LCM(54258,54269) = 2944527402

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Least Common Multiple of 54258 and 54269 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54258 and 54269, than apply into the LCM equation.

GCF(54258,54269) = 1
LCM(54258,54269) = ( 54258 × 54269) / 1
LCM(54258,54269) = 2944527402 / 1
LCM(54258,54269) = 2944527402

Least Common Multiple (LCM) of 54258 and 54269 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54258 and 54269. First we will calculate the prime factors of 54258 and 54269.

Prime Factorization of 54258

Prime factors of 54258 are 2, 3, 9043. Prime factorization of 54258 in exponential form is:

54258 = 21 × 31 × 90431

Prime Factorization of 54269

Prime factors of 54269 are 54269. Prime factorization of 54269 in exponential form is:

54269 = 542691

Now multiplying the highest exponent prime factors to calculate the LCM of 54258 and 54269.

LCM(54258,54269) = 21 × 31 × 90431 × 542691
LCM(54258,54269) = 2944527402