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What is the Least Common Multiple of 15652 and 15659?

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 15659 is 35013524.

LCM(15652,15659) = 35013524

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Least Common Multiple of 15652 and 15659 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 15659, than apply into the LCM equation.

GCF(15652,15659) = 7
LCM(15652,15659) = ( 15652 × 15659) / 7
LCM(15652,15659) = 245094668 / 7
LCM(15652,15659) = 35013524

Least Common Multiple (LCM) of 15652 and 15659 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15652 and 15659. First we will calculate the prime factors of 15652 and 15659.

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 15659

Prime factors of 15659 are 7, 2237. Prime factorization of 15659 in exponential form is:

15659 = 71 × 22371

Now multiplying the highest exponent prime factors to calculate the LCM of 15652 and 15659.

LCM(15652,15659) = 22 × 71 × 131 × 431 × 22371
LCM(15652,15659) = 35013524