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What is the Least Common Multiple of 6468 and 6472?

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 6468 and 6472 is 10465224.

LCM(6468,6472) = 10465224

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Least Common Multiple of 6468 and 6472 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6468 and 6472, than apply into the LCM equation.

GCF(6468,6472) = 4
LCM(6468,6472) = ( 6468 × 6472) / 4
LCM(6468,6472) = 41860896 / 4
LCM(6468,6472) = 10465224

Least Common Multiple (LCM) of 6468 and 6472 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6468 and 6472. First we will calculate the prime factors of 6468 and 6472.

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

Prime Factorization of 6472

Prime factors of 6472 are 2, 809. Prime factorization of 6472 in exponential form is:

6472 = 23 × 8091

Now multiplying the highest exponent prime factors to calculate the LCM of 6468 and 6472.

LCM(6468,6472) = 23 × 31 × 72 × 111 × 8091
LCM(6468,6472) = 10465224