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What is the Least Common Multiple of 66864 and 66868?

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 66864 and 66868 is 1117765488.

LCM(66864,66868) = 1117765488

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Least Common Multiple of 66864 and 66868 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66864 and 66868, than apply into the LCM equation.

GCF(66864,66868) = 4
LCM(66864,66868) = ( 66864 × 66868) / 4
LCM(66864,66868) = 4471061952 / 4
LCM(66864,66868) = 1117765488

Least Common Multiple (LCM) of 66864 and 66868 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66864 and 66868. First we will calculate the prime factors of 66864 and 66868.

Prime Factorization of 66864

Prime factors of 66864 are 2, 3, 7, 199. Prime factorization of 66864 in exponential form is:

66864 = 24 × 31 × 71 × 1991

Prime Factorization of 66868

Prime factors of 66868 are 2, 73, 229. Prime factorization of 66868 in exponential form is:

66868 = 22 × 731 × 2291

Now multiplying the highest exponent prime factors to calculate the LCM of 66864 and 66868.

LCM(66864,66868) = 24 × 31 × 71 × 1991 × 731 × 2291
LCM(66864,66868) = 1117765488