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What is the Least Common Multiple of 15658 and 15666?

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 15658 and 15666 is 122649114.

LCM(15658,15666) = 122649114

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Least Common Multiple of 15658 and 15666 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15658 and 15666, than apply into the LCM equation.

GCF(15658,15666) = 2
LCM(15658,15666) = ( 15658 × 15666) / 2
LCM(15658,15666) = 245298228 / 2
LCM(15658,15666) = 122649114

Least Common Multiple (LCM) of 15658 and 15666 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15658 and 15666. First we will calculate the prime factors of 15658 and 15666.

Prime Factorization of 15658

Prime factors of 15658 are 2, 7829. Prime factorization of 15658 in exponential form is:

15658 = 21 × 78291

Prime Factorization of 15666

Prime factors of 15666 are 2, 3, 7, 373. Prime factorization of 15666 in exponential form is:

15666 = 21 × 31 × 71 × 3731

Now multiplying the highest exponent prime factors to calculate the LCM of 15658 and 15666.

LCM(15658,15666) = 21 × 78291 × 31 × 71 × 3731
LCM(15658,15666) = 122649114