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What is the Least Common Multiple of 66702 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 66702 and 66721 is 4450424142.

LCM(66702,66721) = 4450424142

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Least Common Multiple of 66702 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 66702 and 66721, than apply into the LCM equation.

GCF(66702,66721) = 1
LCM(66702,66721) = ( 66702 × 66721) / 1
LCM(66702,66721) = 4450424142 / 1
LCM(66702,66721) = 4450424142

Least Common Multiple (LCM) of 66702 and 66721 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66702 and 66721. First we will calculate the prime factors of 66702 and 66721.

Prime Factorization of 66702

Prime factors of 66702 are 2, 3, 11117. Prime factorization of 66702 in exponential form is:

66702 = 21 × 31 × 111171

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 66702 and 66721.

LCM(66702,66721) = 21 × 31 × 111171 × 667211
LCM(66702,66721) = 4450424142