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What is the Least Common Multiple of 11828 and 11845?

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 11828 and 11845 is 140102660.

LCM(11828,11845) = 140102660

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Least Common Multiple of 11828 and 11845 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11828 and 11845, than apply into the LCM equation.

GCF(11828,11845) = 1
LCM(11828,11845) = ( 11828 × 11845) / 1
LCM(11828,11845) = 140102660 / 1
LCM(11828,11845) = 140102660

Least Common Multiple (LCM) of 11828 and 11845 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11828 and 11845. First we will calculate the prime factors of 11828 and 11845.

Prime Factorization of 11828

Prime factors of 11828 are 2, 2957. Prime factorization of 11828 in exponential form is:

11828 = 22 × 29571

Prime Factorization of 11845

Prime factors of 11845 are 5, 23, 103. Prime factorization of 11845 in exponential form is:

11845 = 51 × 231 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 11828 and 11845.

LCM(11828,11845) = 22 × 29571 × 51 × 231 × 1031
LCM(11828,11845) = 140102660