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What is the Least Common Multiple of 15652 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 15652 and 15666 is 17514588.

LCM(15652,15666) = 17514588

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Least Common Multiple of 15652 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 15652 and 15666, than apply into the LCM equation.

GCF(15652,15666) = 14
LCM(15652,15666) = ( 15652 × 15666) / 14
LCM(15652,15666) = 245204232 / 14
LCM(15652,15666) = 17514588

Least Common Multiple (LCM) of 15652 and 15666 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15652 and 15666. First we will calculate the prime factors of 15652 and 15666.

Prime Factorization of 15652

Prime factors of 15652 are 2, 7, 13, 43. Prime factorization of 15652 in exponential form is:

15652 = 22 × 71 × 131 × 431

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 15652 and 15666.

LCM(15652,15666) = 22 × 71 × 131 × 431 × 31 × 3731
LCM(15652,15666) = 17514588