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What is the Least Common Multiple of 6450 and 6460?

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 6450 and 6460 is 4166700.

LCM(6450,6460) = 4166700

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Least Common Multiple of 6450 and 6460 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6450 and 6460, than apply into the LCM equation.

GCF(6450,6460) = 10
LCM(6450,6460) = ( 6450 × 6460) / 10
LCM(6450,6460) = 41667000 / 10
LCM(6450,6460) = 4166700

Least Common Multiple (LCM) of 6450 and 6460 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6450 and 6460. First we will calculate the prime factors of 6450 and 6460.

Prime Factorization of 6450

Prime factors of 6450 are 2, 3, 5, 43. Prime factorization of 6450 in exponential form is:

6450 = 21 × 31 × 52 × 431

Prime Factorization of 6460

Prime factors of 6460 are 2, 5, 17, 19. Prime factorization of 6460 in exponential form is:

6460 = 22 × 51 × 171 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 6450 and 6460.

LCM(6450,6460) = 22 × 31 × 52 × 431 × 171 × 191
LCM(6450,6460) = 4166700