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What is the Least Common Multiple of 65002 and 65022?

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 65002 and 65022 is 2113280022.

LCM(65002,65022) = 2113280022

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Least Common Multiple of 65002 and 65022 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65002 and 65022, than apply into the LCM equation.

GCF(65002,65022) = 2
LCM(65002,65022) = ( 65002 × 65022) / 2
LCM(65002,65022) = 4226560044 / 2
LCM(65002,65022) = 2113280022

Least Common Multiple (LCM) of 65002 and 65022 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65002 and 65022. First we will calculate the prime factors of 65002 and 65022.

Prime Factorization of 65002

Prime factors of 65002 are 2, 7, 4643. Prime factorization of 65002 in exponential form is:

65002 = 21 × 71 × 46431

Prime Factorization of 65022

Prime factors of 65022 are 2, 3, 10837. Prime factorization of 65022 in exponential form is:

65022 = 21 × 31 × 108371

Now multiplying the highest exponent prime factors to calculate the LCM of 65002 and 65022.

LCM(65002,65022) = 21 × 71 × 46431 × 31 × 108371
LCM(65002,65022) = 2113280022