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What is the Least Common Multiple of 15653 and 15663?

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 15653 and 15663 is 245172939.

LCM(15653,15663) = 245172939

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Least Common Multiple of 15653 and 15663 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15653 and 15663, than apply into the LCM equation.

GCF(15653,15663) = 1
LCM(15653,15663) = ( 15653 × 15663) / 1
LCM(15653,15663) = 245172939 / 1
LCM(15653,15663) = 245172939

Least Common Multiple (LCM) of 15653 and 15663 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15653 and 15663. First we will calculate the prime factors of 15653 and 15663.

Prime Factorization of 15653

Prime factors of 15653 are 11, 1423. Prime factorization of 15653 in exponential form is:

15653 = 111 × 14231

Prime Factorization of 15663

Prime factors of 15663 are 3, 23, 227. Prime factorization of 15663 in exponential form is:

15663 = 31 × 231 × 2271

Now multiplying the highest exponent prime factors to calculate the LCM of 15653 and 15663.

LCM(15653,15663) = 111 × 14231 × 31 × 231 × 2271
LCM(15653,15663) = 245172939