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What is the Least Common Multiple of 15898 and 15916?

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 15898 and 15916 is 126516284.

LCM(15898,15916) = 126516284

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Least Common Multiple of 15898 and 15916 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15898 and 15916, than apply into the LCM equation.

GCF(15898,15916) = 2
LCM(15898,15916) = ( 15898 × 15916) / 2
LCM(15898,15916) = 253032568 / 2
LCM(15898,15916) = 126516284

Least Common Multiple (LCM) of 15898 and 15916 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15898 and 15916. First we will calculate the prime factors of 15898 and 15916.

Prime Factorization of 15898

Prime factors of 15898 are 2, 7949. Prime factorization of 15898 in exponential form is:

15898 = 21 × 79491

Prime Factorization of 15916

Prime factors of 15916 are 2, 23, 173. Prime factorization of 15916 in exponential form is:

15916 = 22 × 231 × 1731

Now multiplying the highest exponent prime factors to calculate the LCM of 15898 and 15916.

LCM(15898,15916) = 22 × 79491 × 231 × 1731
LCM(15898,15916) = 126516284