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What is the Least Common Multiple of 55798 and 55807?

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 55798 and 55807 is 3113918986.

LCM(55798,55807) = 3113918986

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Least Common Multiple of 55798 and 55807 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55798 and 55807, than apply into the LCM equation.

GCF(55798,55807) = 1
LCM(55798,55807) = ( 55798 × 55807) / 1
LCM(55798,55807) = 3113918986 / 1
LCM(55798,55807) = 3113918986

Least Common Multiple (LCM) of 55798 and 55807 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55798 and 55807. First we will calculate the prime factors of 55798 and 55807.

Prime Factorization of 55798

Prime factors of 55798 are 2, 23, 1213. Prime factorization of 55798 in exponential form is:

55798 = 21 × 231 × 12131

Prime Factorization of 55807

Prime factors of 55807 are 55807. Prime factorization of 55807 in exponential form is:

55807 = 558071

Now multiplying the highest exponent prime factors to calculate the LCM of 55798 and 55807.

LCM(55798,55807) = 21 × 231 × 12131 × 558071
LCM(55798,55807) = 3113918986