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What is the Least Common Multiple of 55892 and 55902?

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 55892 and 55902 is 1562237292.

LCM(55892,55902) = 1562237292

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Least Common Multiple of 55892 and 55902 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55892 and 55902, than apply into the LCM equation.

GCF(55892,55902) = 2
LCM(55892,55902) = ( 55892 × 55902) / 2
LCM(55892,55902) = 3124474584 / 2
LCM(55892,55902) = 1562237292

Least Common Multiple (LCM) of 55892 and 55902 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55892 and 55902. First we will calculate the prime factors of 55892 and 55902.

Prime Factorization of 55892

Prime factors of 55892 are 2, 89, 157. Prime factorization of 55892 in exponential form is:

55892 = 22 × 891 × 1571

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

Now multiplying the highest exponent prime factors to calculate the LCM of 55892 and 55902.

LCM(55892,55902) = 22 × 891 × 1571 × 31 × 71 × 113
LCM(55892,55902) = 1562237292