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What is the Least Common Multiple of 65009 and 65023?

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 65023 is 603868601.

LCM(65009,65023) = 603868601

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Least Common Multiple of 65009 and 65023 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 65023, than apply into the LCM equation.

GCF(65009,65023) = 7
LCM(65009,65023) = ( 65009 × 65023) / 7
LCM(65009,65023) = 4227080207 / 7
LCM(65009,65023) = 603868601

Least Common Multiple (LCM) of 65009 and 65023 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65009 and 65023. First we will calculate the prime factors of 65009 and 65023.

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 65023

Prime factors of 65023 are 7, 1327. Prime factorization of 65023 in exponential form is:

65023 = 72 × 13271

Now multiplying the highest exponent prime factors to calculate the LCM of 65009 and 65023.

LCM(65009,65023) = 72 × 371 × 2511 × 13271
LCM(65009,65023) = 603868601