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What is the Least Common Multiple of 6419 and 6426?

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 6419 and 6426 is 5892642.

LCM(6419,6426) = 5892642

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Least Common Multiple of 6419 and 6426 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6419 and 6426, than apply into the LCM equation.

GCF(6419,6426) = 7
LCM(6419,6426) = ( 6419 × 6426) / 7
LCM(6419,6426) = 41248494 / 7
LCM(6419,6426) = 5892642

Least Common Multiple (LCM) of 6419 and 6426 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6419 and 6426. First we will calculate the prime factors of 6419 and 6426.

Prime Factorization of 6419

Prime factors of 6419 are 7, 131. Prime factorization of 6419 in exponential form is:

6419 = 72 × 1311

Prime Factorization of 6426

Prime factors of 6426 are 2, 3, 7, 17. Prime factorization of 6426 in exponential form is:

6426 = 21 × 33 × 71 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 6419 and 6426.

LCM(6419,6426) = 72 × 1311 × 21 × 33 × 171
LCM(6419,6426) = 5892642