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What is the Least Common Multiple of 55858 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 55858 and 55868 is 1560337372.

LCM(55858,55868) = 1560337372

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Least Common Multiple of 55858 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 55858 and 55868, than apply into the LCM equation.

GCF(55858,55868) = 2
LCM(55858,55868) = ( 55858 × 55868) / 2
LCM(55858,55868) = 3120674744 / 2
LCM(55858,55868) = 1560337372

Least Common Multiple (LCM) of 55858 and 55868 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55858 and 55868. First we will calculate the prime factors of 55858 and 55868.

Prime Factorization of 55858

Prime factors of 55858 are 2, 11, 2539. Prime factorization of 55858 in exponential form is:

55858 = 21 × 111 × 25391

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 55858 and 55868.

LCM(55858,55868) = 22 × 111 × 25391 × 139671
LCM(55858,55868) = 1560337372