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What is the Least Common Multiple of 6419 and 6434?

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 6434 is 41299846.

LCM(6419,6434) = 41299846

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Least Common Multiple of 6419 and 6434 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 6434, than apply into the LCM equation.

GCF(6419,6434) = 1
LCM(6419,6434) = ( 6419 × 6434) / 1
LCM(6419,6434) = 41299846 / 1
LCM(6419,6434) = 41299846

Least Common Multiple (LCM) of 6419 and 6434 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6419 and 6434. First we will calculate the prime factors of 6419 and 6434.

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 6434

Prime factors of 6434 are 2, 3217. Prime factorization of 6434 in exponential form is:

6434 = 21 × 32171

Now multiplying the highest exponent prime factors to calculate the LCM of 6419 and 6434.

LCM(6419,6434) = 72 × 1311 × 21 × 32171
LCM(6419,6434) = 41299846