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What is the Least Common Multiple of 54057 and 54069?

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 54057 and 54069 is 974269311.

LCM(54057,54069) = 974269311

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Least Common Multiple of 54057 and 54069 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54057 and 54069, than apply into the LCM equation.

GCF(54057,54069) = 3
LCM(54057,54069) = ( 54057 × 54069) / 3
LCM(54057,54069) = 2922807933 / 3
LCM(54057,54069) = 974269311

Least Common Multiple (LCM) of 54057 and 54069 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54057 and 54069. First we will calculate the prime factors of 54057 and 54069.

Prime Factorization of 54057

Prime factors of 54057 are 3, 37, 487. Prime factorization of 54057 in exponential form is:

54057 = 31 × 371 × 4871

Prime Factorization of 54069

Prime factors of 54069 are 3, 67, 269. Prime factorization of 54069 in exponential form is:

54069 = 31 × 671 × 2691

Now multiplying the highest exponent prime factors to calculate the LCM of 54057 and 54069.

LCM(54057,54069) = 31 × 371 × 4871 × 671 × 2691
LCM(54057,54069) = 974269311