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What is the Least Common Multiple of 6458 and 6468?

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 6468 is 20885172.

LCM(6458,6468) = 20885172

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Least Common Multiple of 6458 and 6468 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 6468, than apply into the LCM equation.

GCF(6458,6468) = 2
LCM(6458,6468) = ( 6458 × 6468) / 2
LCM(6458,6468) = 41770344 / 2
LCM(6458,6468) = 20885172

Least Common Multiple (LCM) of 6458 and 6468 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6458 and 6468. First we will calculate the prime factors of 6458 and 6468.

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 6468

Prime factors of 6468 are 2, 3, 7, 11. Prime factorization of 6468 in exponential form is:

6468 = 22 × 31 × 72 × 111

Now multiplying the highest exponent prime factors to calculate the LCM of 6458 and 6468.

LCM(6458,6468) = 22 × 32291 × 31 × 72 × 111
LCM(6458,6468) = 20885172