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What is the Least Common Multiple of 55842 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 55842 and 55851 is 1039610514.

LCM(55842,55851) = 1039610514

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Least Common Multiple of 55842 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 55842 and 55851, than apply into the LCM equation.

GCF(55842,55851) = 3
LCM(55842,55851) = ( 55842 × 55851) / 3
LCM(55842,55851) = 3118831542 / 3
LCM(55842,55851) = 1039610514

Least Common Multiple (LCM) of 55842 and 55851 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55842 and 55851. First we will calculate the prime factors of 55842 and 55851.

Prime Factorization of 55842

Prime factors of 55842 are 2, 3, 41, 227. Prime factorization of 55842 in exponential form is:

55842 = 21 × 31 × 411 × 2271

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 55842 and 55851.

LCM(55842,55851) = 21 × 31 × 411 × 2271 × 186171
LCM(55842,55851) = 1039610514