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What is the Least Common Multiple of 6448 and 6464?

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 6448 and 6464 is 2604992.

LCM(6448,6464) = 2604992

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Least Common Multiple of 6448 and 6464 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6448 and 6464, than apply into the LCM equation.

GCF(6448,6464) = 16
LCM(6448,6464) = ( 6448 × 6464) / 16
LCM(6448,6464) = 41679872 / 16
LCM(6448,6464) = 2604992

Least Common Multiple (LCM) of 6448 and 6464 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6448 and 6464. First we will calculate the prime factors of 6448 and 6464.

Prime Factorization of 6448

Prime factors of 6448 are 2, 13, 31. Prime factorization of 6448 in exponential form is:

6448 = 24 × 131 × 311

Prime Factorization of 6464

Prime factors of 6464 are 2, 101. Prime factorization of 6464 in exponential form is:

6464 = 26 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 6448 and 6464.

LCM(6448,6464) = 26 × 131 × 311 × 1011
LCM(6448,6464) = 2604992