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What is the Least Common Multiple of 55815 and 55823?

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 55815 and 55823 is 3115760745.

LCM(55815,55823) = 3115760745

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Least Common Multiple of 55815 and 55823 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55815 and 55823, than apply into the LCM equation.

GCF(55815,55823) = 1
LCM(55815,55823) = ( 55815 × 55823) / 1
LCM(55815,55823) = 3115760745 / 1
LCM(55815,55823) = 3115760745

Least Common Multiple (LCM) of 55815 and 55823 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55815 and 55823. First we will calculate the prime factors of 55815 and 55823.

Prime Factorization of 55815

Prime factors of 55815 are 3, 5, 61. Prime factorization of 55815 in exponential form is:

55815 = 31 × 51 × 612

Prime Factorization of 55823

Prime factors of 55823 are 55823. Prime factorization of 55823 in exponential form is:

55823 = 558231

Now multiplying the highest exponent prime factors to calculate the LCM of 55815 and 55823.

LCM(55815,55823) = 31 × 51 × 612 × 558231
LCM(55815,55823) = 3115760745