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What is the Least Common Multiple of 6444 and 6455?

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 6444 and 6455 is 41596020.

LCM(6444,6455) = 41596020

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Least Common Multiple of 6444 and 6455 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6444 and 6455, than apply into the LCM equation.

GCF(6444,6455) = 1
LCM(6444,6455) = ( 6444 × 6455) / 1
LCM(6444,6455) = 41596020 / 1
LCM(6444,6455) = 41596020

Least Common Multiple (LCM) of 6444 and 6455 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6444 and 6455. First we will calculate the prime factors of 6444 and 6455.

Prime Factorization of 6444

Prime factors of 6444 are 2, 3, 179. Prime factorization of 6444 in exponential form is:

6444 = 22 × 32 × 1791

Prime Factorization of 6455

Prime factors of 6455 are 5, 1291. Prime factorization of 6455 in exponential form is:

6455 = 51 × 12911

Now multiplying the highest exponent prime factors to calculate the LCM of 6444 and 6455.

LCM(6444,6455) = 22 × 32 × 1791 × 51 × 12911
LCM(6444,6455) = 41596020