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What is the Least Common Multiple of 54823 and 54831?

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 54823 and 54831 is 3005999913.

LCM(54823,54831) = 3005999913

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Least Common Multiple of 54823 and 54831 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54823 and 54831, than apply into the LCM equation.

GCF(54823,54831) = 1
LCM(54823,54831) = ( 54823 × 54831) / 1
LCM(54823,54831) = 3005999913 / 1
LCM(54823,54831) = 3005999913

Least Common Multiple (LCM) of 54823 and 54831 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54823 and 54831. First we will calculate the prime factors of 54823 and 54831.

Prime Factorization of 54823

Prime factors of 54823 are 73, 751. Prime factorization of 54823 in exponential form is:

54823 = 731 × 7511

Prime Factorization of 54831

Prime factors of 54831 are 3, 7, 373. Prime factorization of 54831 in exponential form is:

54831 = 31 × 72 × 3731

Now multiplying the highest exponent prime factors to calculate the LCM of 54823 and 54831.

LCM(54823,54831) = 731 × 7511 × 31 × 72 × 3731
LCM(54823,54831) = 3005999913