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What is the Least Common Multiple of 6466 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 6466 and 6472 is 20923976.

LCM(6466,6472) = 20923976

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Least Common Multiple of 6466 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 6466 and 6472, than apply into the LCM equation.

GCF(6466,6472) = 2
LCM(6466,6472) = ( 6466 × 6472) / 2
LCM(6466,6472) = 41847952 / 2
LCM(6466,6472) = 20923976

Least Common Multiple (LCM) of 6466 and 6472 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6466 and 6472. First we will calculate the prime factors of 6466 and 6472.

Prime Factorization of 6466

Prime factors of 6466 are 2, 53, 61. Prime factorization of 6466 in exponential form is:

6466 = 21 × 531 × 611

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 6466 and 6472.

LCM(6466,6472) = 23 × 531 × 611 × 8091
LCM(6466,6472) = 20923976