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What is the Least Common Multiple of 6441 and 6450?

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 6441 and 6450 is 13848150.

LCM(6441,6450) = 13848150

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Least Common Multiple of 6441 and 6450 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6441 and 6450, than apply into the LCM equation.

GCF(6441,6450) = 3
LCM(6441,6450) = ( 6441 × 6450) / 3
LCM(6441,6450) = 41544450 / 3
LCM(6441,6450) = 13848150

Least Common Multiple (LCM) of 6441 and 6450 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6441 and 6450. First we will calculate the prime factors of 6441 and 6450.

Prime Factorization of 6441

Prime factors of 6441 are 3, 19, 113. Prime factorization of 6441 in exponential form is:

6441 = 31 × 191 × 1131

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6441 and 6450.

LCM(6441,6450) = 31 × 191 × 1131 × 21 × 52 × 431
LCM(6441,6450) = 13848150