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What is the Least Common Multiple of 6449 and 6461?

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 6449 and 6461 is 41666989.

LCM(6449,6461) = 41666989

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Least Common Multiple of 6449 and 6461 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6449 and 6461, than apply into the LCM equation.

GCF(6449,6461) = 1
LCM(6449,6461) = ( 6449 × 6461) / 1
LCM(6449,6461) = 41666989 / 1
LCM(6449,6461) = 41666989

Least Common Multiple (LCM) of 6449 and 6461 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6449 and 6461. First we will calculate the prime factors of 6449 and 6461.

Prime Factorization of 6449

Prime factors of 6449 are 6449. Prime factorization of 6449 in exponential form is:

6449 = 64491

Prime Factorization of 6461

Prime factors of 6461 are 7, 13, 71. Prime factorization of 6461 in exponential form is:

6461 = 71 × 131 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 6449 and 6461.

LCM(6449,6461) = 64491 × 71 × 131 × 711
LCM(6449,6461) = 41666989