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What is the Least Common Multiple of 55902 and 55919?

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 55902 and 55919 is 3125983938.

LCM(55902,55919) = 3125983938

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Least Common Multiple of 55902 and 55919 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55902 and 55919, than apply into the LCM equation.

GCF(55902,55919) = 1
LCM(55902,55919) = ( 55902 × 55919) / 1
LCM(55902,55919) = 3125983938 / 1
LCM(55902,55919) = 3125983938

Least Common Multiple (LCM) of 55902 and 55919 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55902 and 55919. First we will calculate the prime factors of 55902 and 55919.

Prime Factorization of 55902

Prime factors of 55902 are 2, 3, 7, 11. Prime factorization of 55902 in exponential form is:

55902 = 21 × 31 × 71 × 113

Prime Factorization of 55919

Prime factors of 55919 are 199, 281. Prime factorization of 55919 in exponential form is:

55919 = 1991 × 2811

Now multiplying the highest exponent prime factors to calculate the LCM of 55902 and 55919.

LCM(55902,55919) = 21 × 31 × 71 × 113 × 1991 × 2811
LCM(55902,55919) = 3125983938