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What is the Least Common Multiple of 66714 and 66721?

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 66714 and 66721 is 4451224794.

LCM(66714,66721) = 4451224794

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Least Common Multiple of 66714 and 66721 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66714 and 66721, than apply into the LCM equation.

GCF(66714,66721) = 1
LCM(66714,66721) = ( 66714 × 66721) / 1
LCM(66714,66721) = 4451224794 / 1
LCM(66714,66721) = 4451224794

Least Common Multiple (LCM) of 66714 and 66721 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66714 and 66721. First we will calculate the prime factors of 66714 and 66721.

Prime Factorization of 66714

Prime factors of 66714 are 2, 3, 11119. Prime factorization of 66714 in exponential form is:

66714 = 21 × 31 × 111191

Prime Factorization of 66721

Prime factors of 66721 are 66721. Prime factorization of 66721 in exponential form is:

66721 = 667211

Now multiplying the highest exponent prime factors to calculate the LCM of 66714 and 66721.

LCM(66714,66721) = 21 × 31 × 111191 × 667211
LCM(66714,66721) = 4451224794