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What is the Least Common Multiple of 15664 and 15668?

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 15664 and 15668 is 61355888.

LCM(15664,15668) = 61355888

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Least Common Multiple of 15664 and 15668 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15664 and 15668, than apply into the LCM equation.

GCF(15664,15668) = 4
LCM(15664,15668) = ( 15664 × 15668) / 4
LCM(15664,15668) = 245423552 / 4
LCM(15664,15668) = 61355888

Least Common Multiple (LCM) of 15664 and 15668 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15664 and 15668. First we will calculate the prime factors of 15664 and 15668.

Prime Factorization of 15664

Prime factors of 15664 are 2, 11, 89. Prime factorization of 15664 in exponential form is:

15664 = 24 × 111 × 891

Prime Factorization of 15668

Prime factors of 15668 are 2, 3917. Prime factorization of 15668 in exponential form is:

15668 = 22 × 39171

Now multiplying the highest exponent prime factors to calculate the LCM of 15664 and 15668.

LCM(15664,15668) = 24 × 111 × 891 × 39171
LCM(15664,15668) = 61355888