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What is the Least Common Multiple of 6440 and 6454?

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 6440 and 6454 is 2968840.

LCM(6440,6454) = 2968840

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Least Common Multiple of 6440 and 6454 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6440 and 6454, than apply into the LCM equation.

GCF(6440,6454) = 14
LCM(6440,6454) = ( 6440 × 6454) / 14
LCM(6440,6454) = 41563760 / 14
LCM(6440,6454) = 2968840

Least Common Multiple (LCM) of 6440 and 6454 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6440 and 6454. First we will calculate the prime factors of 6440 and 6454.

Prime Factorization of 6440

Prime factors of 6440 are 2, 5, 7, 23. Prime factorization of 6440 in exponential form is:

6440 = 23 × 51 × 71 × 231

Prime Factorization of 6454

Prime factors of 6454 are 2, 7, 461. Prime factorization of 6454 in exponential form is:

6454 = 21 × 71 × 4611

Now multiplying the highest exponent prime factors to calculate the LCM of 6440 and 6454.

LCM(6440,6454) = 23 × 51 × 71 × 231 × 4611
LCM(6440,6454) = 2968840