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What is the Least Common Multiple of 65815 and 65822?

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 65815 and 65822 is 4332074930.

LCM(65815,65822) = 4332074930

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Least Common Multiple of 65815 and 65822 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65815 and 65822, than apply into the LCM equation.

GCF(65815,65822) = 1
LCM(65815,65822) = ( 65815 × 65822) / 1
LCM(65815,65822) = 4332074930 / 1
LCM(65815,65822) = 4332074930

Least Common Multiple (LCM) of 65815 and 65822 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65815 and 65822. First we will calculate the prime factors of 65815 and 65822.

Prime Factorization of 65815

Prime factors of 65815 are 5, 13163. Prime factorization of 65815 in exponential form is:

65815 = 51 × 131631

Prime Factorization of 65822

Prime factors of 65822 are 2, 32911. Prime factorization of 65822 in exponential form is:

65822 = 21 × 329111

Now multiplying the highest exponent prime factors to calculate the LCM of 65815 and 65822.

LCM(65815,65822) = 51 × 131631 × 21 × 329111
LCM(65815,65822) = 4332074930