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What is the Least Common Multiple of 66832 and 66851?

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 66832 and 66851 is 4467786032.

LCM(66832,66851) = 4467786032

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Least Common Multiple of 66832 and 66851 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66832 and 66851, than apply into the LCM equation.

GCF(66832,66851) = 1
LCM(66832,66851) = ( 66832 × 66851) / 1
LCM(66832,66851) = 4467786032 / 1
LCM(66832,66851) = 4467786032

Least Common Multiple (LCM) of 66832 and 66851 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66832 and 66851. First we will calculate the prime factors of 66832 and 66851.

Prime Factorization of 66832

Prime factors of 66832 are 2, 4177. Prime factorization of 66832 in exponential form is:

66832 = 24 × 41771

Prime Factorization of 66851

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

66851 = 668511

Now multiplying the highest exponent prime factors to calculate the LCM of 66832 and 66851.

LCM(66832,66851) = 24 × 41771 × 668511
LCM(66832,66851) = 4467786032