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What is the Least Common Multiple of 65863 and 65867?

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 65863 and 65867 is 4338198221.

LCM(65863,65867) = 4338198221

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Least Common Multiple of 65863 and 65867 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65863 and 65867, than apply into the LCM equation.

GCF(65863,65867) = 1
LCM(65863,65867) = ( 65863 × 65867) / 1
LCM(65863,65867) = 4338198221 / 1
LCM(65863,65867) = 4338198221

Least Common Multiple (LCM) of 65863 and 65867 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65863 and 65867. First we will calculate the prime factors of 65863 and 65867.

Prime Factorization of 65863

Prime factors of 65863 are 7, 97. Prime factorization of 65863 in exponential form is:

65863 = 71 × 972

Prime Factorization of 65867

Prime factors of 65867 are 65867. Prime factorization of 65867 in exponential form is:

65867 = 658671

Now multiplying the highest exponent prime factors to calculate the LCM of 65863 and 65867.

LCM(65863,65867) = 71 × 972 × 658671
LCM(65863,65867) = 4338198221