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What is the Least Common Multiple of 54849 and 54860?

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 54849 and 54860 is 3009016140.

LCM(54849,54860) = 3009016140

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Least Common Multiple of 54849 and 54860 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54849 and 54860, than apply into the LCM equation.

GCF(54849,54860) = 1
LCM(54849,54860) = ( 54849 × 54860) / 1
LCM(54849,54860) = 3009016140 / 1
LCM(54849,54860) = 3009016140

Least Common Multiple (LCM) of 54849 and 54860 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54849 and 54860. First we will calculate the prime factors of 54849 and 54860.

Prime Factorization of 54849

Prime factors of 54849 are 3, 47, 389. Prime factorization of 54849 in exponential form is:

54849 = 31 × 471 × 3891

Prime Factorization of 54860

Prime factors of 54860 are 2, 5, 13, 211. Prime factorization of 54860 in exponential form is:

54860 = 22 × 51 × 131 × 2111

Now multiplying the highest exponent prime factors to calculate the LCM of 54849 and 54860.

LCM(54849,54860) = 31 × 471 × 3891 × 22 × 51 × 131 × 2111
LCM(54849,54860) = 3009016140