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What is the Least Common Multiple of 54843 and 54862?

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 54843 and 54862 is 3008796666.

LCM(54843,54862) = 3008796666

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Least Common Multiple of 54843 and 54862 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54843 and 54862, than apply into the LCM equation.

GCF(54843,54862) = 1
LCM(54843,54862) = ( 54843 × 54862) / 1
LCM(54843,54862) = 3008796666 / 1
LCM(54843,54862) = 3008796666

Least Common Multiple (LCM) of 54843 and 54862 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54843 and 54862. First we will calculate the prime factors of 54843 and 54862.

Prime Factorization of 54843

Prime factors of 54843 are 3, 101, 181. Prime factorization of 54843 in exponential form is:

54843 = 31 × 1011 × 1811

Prime Factorization of 54862

Prime factors of 54862 are 2, 27431. Prime factorization of 54862 in exponential form is:

54862 = 21 × 274311

Now multiplying the highest exponent prime factors to calculate the LCM of 54843 and 54862.

LCM(54843,54862) = 31 × 1011 × 1811 × 21 × 274311
LCM(54843,54862) = 3008796666