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What is the Least Common Multiple of 66851 and 66864?

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 66851 and 66864 is 4469925264.

LCM(66851,66864) = 4469925264

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Least Common Multiple of 66851 and 66864 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66851 and 66864, than apply into the LCM equation.

GCF(66851,66864) = 1
LCM(66851,66864) = ( 66851 × 66864) / 1
LCM(66851,66864) = 4469925264 / 1
LCM(66851,66864) = 4469925264

Least Common Multiple (LCM) of 66851 and 66864 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66851 and 66864. First we will calculate the prime factors of 66851 and 66864.

Prime Factorization of 66851

Prime factors of 66851 are 66851. Prime factorization of 66851 in exponential form is:

66851 = 668511

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

Now multiplying the highest exponent prime factors to calculate the LCM of 66851 and 66864.

LCM(66851,66864) = 668511 × 24 × 31 × 71 × 1991
LCM(66851,66864) = 4469925264