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What is the Least Common Multiple of 6458 and 6462?

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 6458 and 6462 is 20865798.

LCM(6458,6462) = 20865798

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Least Common Multiple of 6458 and 6462 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6458 and 6462, than apply into the LCM equation.

GCF(6458,6462) = 2
LCM(6458,6462) = ( 6458 × 6462) / 2
LCM(6458,6462) = 41731596 / 2
LCM(6458,6462) = 20865798

Least Common Multiple (LCM) of 6458 and 6462 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6458 and 6462. First we will calculate the prime factors of 6458 and 6462.

Prime Factorization of 6458

Prime factors of 6458 are 2, 3229. Prime factorization of 6458 in exponential form is:

6458 = 21 × 32291

Prime Factorization of 6462

Prime factors of 6462 are 2, 3, 359. Prime factorization of 6462 in exponential form is:

6462 = 21 × 32 × 3591

Now multiplying the highest exponent prime factors to calculate the LCM of 6458 and 6462.

LCM(6458,6462) = 21 × 32291 × 32 × 3591
LCM(6458,6462) = 20865798