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What is the Least Common Multiple of 19851 and 19864?

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 19851 and 19864 is 30332328.

LCM(19851,19864) = 30332328

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Least Common Multiple of 19851 and 19864 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19851 and 19864, than apply into the LCM equation.

GCF(19851,19864) = 13
LCM(19851,19864) = ( 19851 × 19864) / 13
LCM(19851,19864) = 394320264 / 13
LCM(19851,19864) = 30332328

Least Common Multiple (LCM) of 19851 and 19864 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19851 and 19864. First we will calculate the prime factors of 19851 and 19864.

Prime Factorization of 19851

Prime factors of 19851 are 3, 13, 509. Prime factorization of 19851 in exponential form is:

19851 = 31 × 131 × 5091

Prime Factorization of 19864

Prime factors of 19864 are 2, 13, 191. Prime factorization of 19864 in exponential form is:

19864 = 23 × 131 × 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 19851 and 19864.

LCM(19851,19864) = 31 × 131 × 5091 × 23 × 1911
LCM(19851,19864) = 30332328