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What is the Least Common Multiple of 13702 and 13706?

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 13702 and 13706 is 93899806.

LCM(13702,13706) = 93899806

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Least Common Multiple of 13702 and 13706 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13702 and 13706, than apply into the LCM equation.

GCF(13702,13706) = 2
LCM(13702,13706) = ( 13702 × 13706) / 2
LCM(13702,13706) = 187799612 / 2
LCM(13702,13706) = 93899806

Least Common Multiple (LCM) of 13702 and 13706 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13702 and 13706. First we will calculate the prime factors of 13702 and 13706.

Prime Factorization of 13702

Prime factors of 13702 are 2, 13, 17, 31. Prime factorization of 13702 in exponential form is:

13702 = 21 × 131 × 171 × 311

Prime Factorization of 13706

Prime factors of 13706 are 2, 7, 11, 89. Prime factorization of 13706 in exponential form is:

13706 = 21 × 71 × 111 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 13702 and 13706.

LCM(13702,13706) = 21 × 131 × 171 × 311 × 71 × 111 × 891
LCM(13702,13706) = 93899806