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What is the Least Common Multiple of 27842 and 27851?

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 27842 and 27851 is 775427542.

LCM(27842,27851) = 775427542

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Least Common Multiple of 27842 and 27851 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27842 and 27851, than apply into the LCM equation.

GCF(27842,27851) = 1
LCM(27842,27851) = ( 27842 × 27851) / 1
LCM(27842,27851) = 775427542 / 1
LCM(27842,27851) = 775427542

Least Common Multiple (LCM) of 27842 and 27851 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27842 and 27851. First we will calculate the prime factors of 27842 and 27851.

Prime Factorization of 27842

Prime factors of 27842 are 2, 13921. Prime factorization of 27842 in exponential form is:

27842 = 21 × 139211

Prime Factorization of 27851

Prime factors of 27851 are 27851. Prime factorization of 27851 in exponential form is:

27851 = 278511

Now multiplying the highest exponent prime factors to calculate the LCM of 27842 and 27851.

LCM(27842,27851) = 21 × 139211 × 278511
LCM(27842,27851) = 775427542