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What is the Least Common Multiple of 13712 and 13726?

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 13712 and 13726 is 94105456.

LCM(13712,13726) = 94105456

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Least Common Multiple of 13712 and 13726 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13712 and 13726, than apply into the LCM equation.

GCF(13712,13726) = 2
LCM(13712,13726) = ( 13712 × 13726) / 2
LCM(13712,13726) = 188210912 / 2
LCM(13712,13726) = 94105456

Least Common Multiple (LCM) of 13712 and 13726 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13712 and 13726. First we will calculate the prime factors of 13712 and 13726.

Prime Factorization of 13712

Prime factors of 13712 are 2, 857. Prime factorization of 13712 in exponential form is:

13712 = 24 × 8571

Prime Factorization of 13726

Prime factors of 13726 are 2, 6863. Prime factorization of 13726 in exponential form is:

13726 = 21 × 68631

Now multiplying the highest exponent prime factors to calculate the LCM of 13712 and 13726.

LCM(13712,13726) = 24 × 8571 × 68631
LCM(13712,13726) = 94105456