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What is the Least Common Multiple of 65858 and 65868?

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 65858 and 65868 is 2168967372.

LCM(65858,65868) = 2168967372

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Least Common Multiple of 65858 and 65868 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65858 and 65868, than apply into the LCM equation.

GCF(65858,65868) = 2
LCM(65858,65868) = ( 65858 × 65868) / 2
LCM(65858,65868) = 4337934744 / 2
LCM(65858,65868) = 2168967372

Least Common Multiple (LCM) of 65858 and 65868 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65858 and 65868. First we will calculate the prime factors of 65858 and 65868.

Prime Factorization of 65858

Prime factors of 65858 are 2, 13, 17, 149. Prime factorization of 65858 in exponential form is:

65858 = 21 × 131 × 171 × 1491

Prime Factorization of 65868

Prime factors of 65868 are 2, 3, 11, 499. Prime factorization of 65868 in exponential form is:

65868 = 22 × 31 × 111 × 4991

Now multiplying the highest exponent prime factors to calculate the LCM of 65858 and 65868.

LCM(65858,65868) = 22 × 131 × 171 × 1491 × 31 × 111 × 4991
LCM(65858,65868) = 2168967372