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What is the Least Common Multiple of 65437 and 65449?

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 65437 and 65449 is 4282786213.

LCM(65437,65449) = 4282786213

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Least Common Multiple of 65437 and 65449 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65437 and 65449, than apply into the LCM equation.

GCF(65437,65449) = 1
LCM(65437,65449) = ( 65437 × 65449) / 1
LCM(65437,65449) = 4282786213 / 1
LCM(65437,65449) = 4282786213

Least Common Multiple (LCM) of 65437 and 65449 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65437 and 65449. First we will calculate the prime factors of 65437 and 65449.

Prime Factorization of 65437

Prime factors of 65437 are 65437. Prime factorization of 65437 in exponential form is:

65437 = 654371

Prime Factorization of 65449

Prime factors of 65449 are 65449. Prime factorization of 65449 in exponential form is:

65449 = 654491

Now multiplying the highest exponent prime factors to calculate the LCM of 65437 and 65449.

LCM(65437,65449) = 654371 × 654491
LCM(65437,65449) = 4282786213