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What is the Least Common Multiple of 54871 and 54888?

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 54871 and 54888 is 3011759448.

LCM(54871,54888) = 3011759448

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Least Common Multiple of 54871 and 54888 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54871 and 54888, than apply into the LCM equation.

GCF(54871,54888) = 1
LCM(54871,54888) = ( 54871 × 54888) / 1
LCM(54871,54888) = 3011759448 / 1
LCM(54871,54888) = 3011759448

Least Common Multiple (LCM) of 54871 and 54888 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54871 and 54888. First we will calculate the prime factors of 54871 and 54888.

Prime Factorization of 54871

Prime factors of 54871 are 37, 1483. Prime factorization of 54871 in exponential form is:

54871 = 371 × 14831

Prime Factorization of 54888

Prime factors of 54888 are 2, 3, 2287. Prime factorization of 54888 in exponential form is:

54888 = 23 × 31 × 22871

Now multiplying the highest exponent prime factors to calculate the LCM of 54871 and 54888.

LCM(54871,54888) = 371 × 14831 × 23 × 31 × 22871
LCM(54871,54888) = 3011759448