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What is the Least Common Multiple of 32387 and 32396?

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 32387 and 32396 is 1049209252.

LCM(32387,32396) = 1049209252

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Least Common Multiple of 32387 and 32396 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32387 and 32396, than apply into the LCM equation.

GCF(32387,32396) = 1
LCM(32387,32396) = ( 32387 × 32396) / 1
LCM(32387,32396) = 1049209252 / 1
LCM(32387,32396) = 1049209252

Least Common Multiple (LCM) of 32387 and 32396 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32387 and 32396. First we will calculate the prime factors of 32387 and 32396.

Prime Factorization of 32387

Prime factors of 32387 are 139, 233. Prime factorization of 32387 in exponential form is:

32387 = 1391 × 2331

Prime Factorization of 32396

Prime factors of 32396 are 2, 7, 13, 89. Prime factorization of 32396 in exponential form is:

32396 = 22 × 71 × 131 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 32387 and 32396.

LCM(32387,32396) = 1391 × 2331 × 22 × 71 × 131 × 891
LCM(32387,32396) = 1049209252