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What is the Least Common Multiple of 65378 and 65387?

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 65378 and 65387 is 4274871286.

LCM(65378,65387) = 4274871286

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Least Common Multiple of 65378 and 65387 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65378 and 65387, than apply into the LCM equation.

GCF(65378,65387) = 1
LCM(65378,65387) = ( 65378 × 65387) / 1
LCM(65378,65387) = 4274871286 / 1
LCM(65378,65387) = 4274871286

Least Common Multiple (LCM) of 65378 and 65387 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65378 and 65387. First we will calculate the prime factors of 65378 and 65387.

Prime Factorization of 65378

Prime factors of 65378 are 2, 97, 337. Prime factorization of 65378 in exponential form is:

65378 = 21 × 971 × 3371

Prime Factorization of 65387

Prime factors of 65387 are 7, 9341. Prime factorization of 65387 in exponential form is:

65387 = 71 × 93411

Now multiplying the highest exponent prime factors to calculate the LCM of 65378 and 65387.

LCM(65378,65387) = 21 × 971 × 3371 × 71 × 93411
LCM(65378,65387) = 4274871286