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What is the Least Common Multiple of 65820 and 65833?

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 65820 and 65833 is 4333128060.

LCM(65820,65833) = 4333128060

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Least Common Multiple of 65820 and 65833 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65820 and 65833, than apply into the LCM equation.

GCF(65820,65833) = 1
LCM(65820,65833) = ( 65820 × 65833) / 1
LCM(65820,65833) = 4333128060 / 1
LCM(65820,65833) = 4333128060

Least Common Multiple (LCM) of 65820 and 65833 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65820 and 65833. First we will calculate the prime factors of 65820 and 65833.

Prime Factorization of 65820

Prime factors of 65820 are 2, 3, 5, 1097. Prime factorization of 65820 in exponential form is:

65820 = 22 × 31 × 51 × 10971

Prime Factorization of 65833

Prime factors of 65833 are 43, 1531. Prime factorization of 65833 in exponential form is:

65833 = 431 × 15311

Now multiplying the highest exponent prime factors to calculate the LCM of 65820 and 65833.

LCM(65820,65833) = 22 × 31 × 51 × 10971 × 431 × 15311
LCM(65820,65833) = 4333128060