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What is the Least Common Multiple of 54267 and 54287?

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 54267 and 54287 is 2945992629.

LCM(54267,54287) = 2945992629

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Least Common Multiple of 54267 and 54287 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54267 and 54287, than apply into the LCM equation.

GCF(54267,54287) = 1
LCM(54267,54287) = ( 54267 × 54287) / 1
LCM(54267,54287) = 2945992629 / 1
LCM(54267,54287) = 2945992629

Least Common Multiple (LCM) of 54267 and 54287 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54267 and 54287. First we will calculate the prime factors of 54267 and 54287.

Prime Factorization of 54267

Prime factors of 54267 are 3, 18089. Prime factorization of 54267 in exponential form is:

54267 = 31 × 180891

Prime Factorization of 54287

Prime factors of 54287 are 54287. Prime factorization of 54287 in exponential form is:

54287 = 542871

Now multiplying the highest exponent prime factors to calculate the LCM of 54267 and 54287.

LCM(54267,54287) = 31 × 180891 × 542871
LCM(54267,54287) = 2945992629