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What is the Least Common Multiple of 65444 and 65457?

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 65444 and 65457 is 4283767908.

LCM(65444,65457) = 4283767908

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Least Common Multiple of 65444 and 65457 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65444 and 65457, than apply into the LCM equation.

GCF(65444,65457) = 1
LCM(65444,65457) = ( 65444 × 65457) / 1
LCM(65444,65457) = 4283767908 / 1
LCM(65444,65457) = 4283767908

Least Common Multiple (LCM) of 65444 and 65457 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65444 and 65457. First we will calculate the prime factors of 65444 and 65457.

Prime Factorization of 65444

Prime factors of 65444 are 2, 16361. Prime factorization of 65444 in exponential form is:

65444 = 22 × 163611

Prime Factorization of 65457

Prime factors of 65457 are 3, 7, 1039. Prime factorization of 65457 in exponential form is:

65457 = 32 × 71 × 10391

Now multiplying the highest exponent prime factors to calculate the LCM of 65444 and 65457.

LCM(65444,65457) = 22 × 163611 × 32 × 71 × 10391
LCM(65444,65457) = 4283767908