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What is the Least Common Multiple of 55848 and 55864?

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 55848 and 55864 is 389986584.

LCM(55848,55864) = 389986584

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Least Common Multiple of 55848 and 55864 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55848 and 55864, than apply into the LCM equation.

GCF(55848,55864) = 8
LCM(55848,55864) = ( 55848 × 55864) / 8
LCM(55848,55864) = 3119892672 / 8
LCM(55848,55864) = 389986584

Least Common Multiple (LCM) of 55848 and 55864 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55848 and 55864. First we will calculate the prime factors of 55848 and 55864.

Prime Factorization of 55848

Prime factors of 55848 are 2, 3, 13, 179. Prime factorization of 55848 in exponential form is:

55848 = 23 × 31 × 131 × 1791

Prime Factorization of 55864

Prime factors of 55864 are 2, 6983. Prime factorization of 55864 in exponential form is:

55864 = 23 × 69831

Now multiplying the highest exponent prime factors to calculate the LCM of 55848 and 55864.

LCM(55848,55864) = 23 × 31 × 131 × 1791 × 69831
LCM(55848,55864) = 389986584