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What is the Least Common Multiple of 16714 and 16734?

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 16714 and 16734 is 139846038.

LCM(16714,16734) = 139846038

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Least Common Multiple of 16714 and 16734 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16714 and 16734, than apply into the LCM equation.

GCF(16714,16734) = 2
LCM(16714,16734) = ( 16714 × 16734) / 2
LCM(16714,16734) = 279692076 / 2
LCM(16714,16734) = 139846038

Least Common Multiple (LCM) of 16714 and 16734 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16714 and 16734. First we will calculate the prime factors of 16714 and 16734.

Prime Factorization of 16714

Prime factors of 16714 are 2, 61, 137. Prime factorization of 16714 in exponential form is:

16714 = 21 × 611 × 1371

Prime Factorization of 16734

Prime factors of 16734 are 2, 3, 2789. Prime factorization of 16734 in exponential form is:

16734 = 21 × 31 × 27891

Now multiplying the highest exponent prime factors to calculate the LCM of 16714 and 16734.

LCM(16714,16734) = 21 × 611 × 1371 × 31 × 27891
LCM(16714,16734) = 139846038