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What is the Least Common Multiple of 65457 and 65466?

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 65457 and 65466 is 476134218.

LCM(65457,65466) = 476134218

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Least Common Multiple of 65457 and 65466 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65457 and 65466, than apply into the LCM equation.

GCF(65457,65466) = 9
LCM(65457,65466) = ( 65457 × 65466) / 9
LCM(65457,65466) = 4285207962 / 9
LCM(65457,65466) = 476134218

Least Common Multiple (LCM) of 65457 and 65466 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65457 and 65466. First we will calculate the prime factors of 65457 and 65466.

Prime Factorization of 65457

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

65457 = 32 × 71 × 10391

Prime Factorization of 65466

Prime factors of 65466 are 2, 3, 3637. Prime factorization of 65466 in exponential form is:

65466 = 21 × 32 × 36371

Now multiplying the highest exponent prime factors to calculate the LCM of 65457 and 65466.

LCM(65457,65466) = 32 × 71 × 10391 × 21 × 36371
LCM(65457,65466) = 476134218