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What is the Least Common Multiple of 65892 and 65896?

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 65892 and 65896 is 1085504808.

LCM(65892,65896) = 1085504808

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Least Common Multiple of 65892 and 65896 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65892 and 65896, than apply into the LCM equation.

GCF(65892,65896) = 4
LCM(65892,65896) = ( 65892 × 65896) / 4
LCM(65892,65896) = 4342019232 / 4
LCM(65892,65896) = 1085504808

Least Common Multiple (LCM) of 65892 and 65896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65892 and 65896. First we will calculate the prime factors of 65892 and 65896.

Prime Factorization of 65892

Prime factors of 65892 are 2, 3, 17, 19. Prime factorization of 65892 in exponential form is:

65892 = 22 × 31 × 172 × 191

Prime Factorization of 65896

Prime factors of 65896 are 2, 8237. Prime factorization of 65896 in exponential form is:

65896 = 23 × 82371

Now multiplying the highest exponent prime factors to calculate the LCM of 65892 and 65896.

LCM(65892,65896) = 23 × 31 × 172 × 191 × 82371
LCM(65892,65896) = 1085504808