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What is the Least Common Multiple of 54771 and 54787?

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 54771 and 54787 is 3000738777.

LCM(54771,54787) = 3000738777

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Least Common Multiple of 54771 and 54787 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54771 and 54787, than apply into the LCM equation.

GCF(54771,54787) = 1
LCM(54771,54787) = ( 54771 × 54787) / 1
LCM(54771,54787) = 3000738777 / 1
LCM(54771,54787) = 3000738777

Least Common Multiple (LCM) of 54771 and 54787 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54771 and 54787. First we will calculate the prime factors of 54771 and 54787.

Prime Factorization of 54771

Prime factors of 54771 are 3, 18257. Prime factorization of 54771 in exponential form is:

54771 = 31 × 182571

Prime Factorization of 54787

Prime factors of 54787 are 54787. Prime factorization of 54787 in exponential form is:

54787 = 547871

Now multiplying the highest exponent prime factors to calculate the LCM of 54771 and 54787.

LCM(54771,54787) = 31 × 182571 × 547871
LCM(54771,54787) = 3000738777