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What is the Least Common Multiple of 54854 and 54866?

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 54854 and 54866 is 1504809782.

LCM(54854,54866) = 1504809782

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Least Common Multiple of 54854 and 54866 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54854 and 54866, than apply into the LCM equation.

GCF(54854,54866) = 2
LCM(54854,54866) = ( 54854 × 54866) / 2
LCM(54854,54866) = 3009619564 / 2
LCM(54854,54866) = 1504809782

Least Common Multiple (LCM) of 54854 and 54866 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54854 and 54866. First we will calculate the prime factors of 54854 and 54866.

Prime Factorization of 54854

Prime factors of 54854 are 2, 27427. Prime factorization of 54854 in exponential form is:

54854 = 21 × 274271

Prime Factorization of 54866

Prime factors of 54866 are 2, 7, 3919. Prime factorization of 54866 in exponential form is:

54866 = 21 × 71 × 39191

Now multiplying the highest exponent prime factors to calculate the LCM of 54854 and 54866.

LCM(54854,54866) = 21 × 274271 × 71 × 39191
LCM(54854,54866) = 1504809782