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What is the Least Common Multiple of 55864 and 55868?

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 55864 and 55868 is 780252488.

LCM(55864,55868) = 780252488

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Least Common Multiple of 55864 and 55868 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55864 and 55868, than apply into the LCM equation.

GCF(55864,55868) = 4
LCM(55864,55868) = ( 55864 × 55868) / 4
LCM(55864,55868) = 3121009952 / 4
LCM(55864,55868) = 780252488

Least Common Multiple (LCM) of 55864 and 55868 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55864 and 55868. First we will calculate the prime factors of 55864 and 55868.

Prime Factorization of 55864

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

55864 = 23 × 69831

Prime Factorization of 55868

Prime factors of 55868 are 2, 13967. Prime factorization of 55868 in exponential form is:

55868 = 22 × 139671

Now multiplying the highest exponent prime factors to calculate the LCM of 55864 and 55868.

LCM(55864,55868) = 23 × 69831 × 139671
LCM(55864,55868) = 780252488