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What is the Least Common Multiple of 55835 and 55851?

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 55835 and 55851 is 3118440585.

LCM(55835,55851) = 3118440585

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Least Common Multiple of 55835 and 55851 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55835 and 55851, than apply into the LCM equation.

GCF(55835,55851) = 1
LCM(55835,55851) = ( 55835 × 55851) / 1
LCM(55835,55851) = 3118440585 / 1
LCM(55835,55851) = 3118440585

Least Common Multiple (LCM) of 55835 and 55851 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55835 and 55851. First we will calculate the prime factors of 55835 and 55851.

Prime Factorization of 55835

Prime factors of 55835 are 5, 13, 859. Prime factorization of 55835 in exponential form is:

55835 = 51 × 131 × 8591

Prime Factorization of 55851

Prime factors of 55851 are 3, 18617. Prime factorization of 55851 in exponential form is:

55851 = 31 × 186171

Now multiplying the highest exponent prime factors to calculate the LCM of 55835 and 55851.

LCM(55835,55851) = 51 × 131 × 8591 × 31 × 186171
LCM(55835,55851) = 3118440585