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What is the Least Common Multiple of 11828 and 11847?

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 11847 is 140126316.

LCM(11828,11847) = 140126316

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Least Common Multiple of 11828 and 11847 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 11847, than apply into the LCM equation.

GCF(11828,11847) = 1
LCM(11828,11847) = ( 11828 × 11847) / 1
LCM(11828,11847) = 140126316 / 1
LCM(11828,11847) = 140126316

Least Common Multiple (LCM) of 11828 and 11847 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11828 and 11847. First we will calculate the prime factors of 11828 and 11847.

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 11847

Prime factors of 11847 are 3, 11, 359. Prime factorization of 11847 in exponential form is:

11847 = 31 × 111 × 3591

Now multiplying the highest exponent prime factors to calculate the LCM of 11828 and 11847.

LCM(11828,11847) = 22 × 29571 × 31 × 111 × 3591
LCM(11828,11847) = 140126316