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What is the Least Common Multiple of 65009 and 65024?

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 65009 and 65024 is 4227145216.

LCM(65009,65024) = 4227145216

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Least Common Multiple of 65009 and 65024 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65009 and 65024, than apply into the LCM equation.

GCF(65009,65024) = 1
LCM(65009,65024) = ( 65009 × 65024) / 1
LCM(65009,65024) = 4227145216 / 1
LCM(65009,65024) = 4227145216

Least Common Multiple (LCM) of 65009 and 65024 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65009 and 65024. First we will calculate the prime factors of 65009 and 65024.

Prime Factorization of 65009

Prime factors of 65009 are 7, 37, 251. Prime factorization of 65009 in exponential form is:

65009 = 71 × 371 × 2511

Prime Factorization of 65024

Prime factors of 65024 are 2, 127. Prime factorization of 65024 in exponential form is:

65024 = 29 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 65009 and 65024.

LCM(65009,65024) = 71 × 371 × 2511 × 29 × 1271
LCM(65009,65024) = 4227145216