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What is the Least Common Multiple of 65021 and 65035?

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 65021 and 65035 is 4228640735.

LCM(65021,65035) = 4228640735

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Least Common Multiple of 65021 and 65035 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65021 and 65035, than apply into the LCM equation.

GCF(65021,65035) = 1
LCM(65021,65035) = ( 65021 × 65035) / 1
LCM(65021,65035) = 4228640735 / 1
LCM(65021,65035) = 4228640735

Least Common Multiple (LCM) of 65021 and 65035 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65021 and 65035. First we will calculate the prime factors of 65021 and 65035.

Prime Factorization of 65021

Prime factors of 65021 are 11, 23, 257. Prime factorization of 65021 in exponential form is:

65021 = 111 × 231 × 2571

Prime Factorization of 65035

Prime factors of 65035 are 5, 13007. Prime factorization of 65035 in exponential form is:

65035 = 51 × 130071

Now multiplying the highest exponent prime factors to calculate the LCM of 65021 and 65035.

LCM(65021,65035) = 111 × 231 × 2571 × 51 × 130071
LCM(65021,65035) = 4228640735