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What is the Least Common Multiple of 6454 and 6470?

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 6454 and 6470 is 20878690.

LCM(6454,6470) = 20878690

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Least Common Multiple of 6454 and 6470 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6454 and 6470, than apply into the LCM equation.

GCF(6454,6470) = 2
LCM(6454,6470) = ( 6454 × 6470) / 2
LCM(6454,6470) = 41757380 / 2
LCM(6454,6470) = 20878690

Least Common Multiple (LCM) of 6454 and 6470 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6454 and 6470. First we will calculate the prime factors of 6454 and 6470.

Prime Factorization of 6454

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

6454 = 21 × 71 × 4611

Prime Factorization of 6470

Prime factors of 6470 are 2, 5, 647. Prime factorization of 6470 in exponential form is:

6470 = 21 × 51 × 6471

Now multiplying the highest exponent prime factors to calculate the LCM of 6454 and 6470.

LCM(6454,6470) = 21 × 71 × 4611 × 51 × 6471
LCM(6454,6470) = 20878690