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What is the Least Common Multiple of 6386 and 6398?

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 6386 and 6398 is 20428814.

LCM(6386,6398) = 20428814

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Least Common Multiple of 6386 and 6398 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6386 and 6398, than apply into the LCM equation.

GCF(6386,6398) = 2
LCM(6386,6398) = ( 6386 × 6398) / 2
LCM(6386,6398) = 40857628 / 2
LCM(6386,6398) = 20428814

Least Common Multiple (LCM) of 6386 and 6398 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6386 and 6398. First we will calculate the prime factors of 6386 and 6398.

Prime Factorization of 6386

Prime factors of 6386 are 2, 31, 103. Prime factorization of 6386 in exponential form is:

6386 = 21 × 311 × 1031

Prime Factorization of 6398

Prime factors of 6398 are 2, 7, 457. Prime factorization of 6398 in exponential form is:

6398 = 21 × 71 × 4571

Now multiplying the highest exponent prime factors to calculate the LCM of 6386 and 6398.

LCM(6386,6398) = 21 × 311 × 1031 × 71 × 4571
LCM(6386,6398) = 20428814