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What is the Least Common Multiple of 15669 and 15676?

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 15669 and 15676 is 245627244.

LCM(15669,15676) = 245627244

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Least Common Multiple of 15669 and 15676 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15669 and 15676, than apply into the LCM equation.

GCF(15669,15676) = 1
LCM(15669,15676) = ( 15669 × 15676) / 1
LCM(15669,15676) = 245627244 / 1
LCM(15669,15676) = 245627244

Least Common Multiple (LCM) of 15669 and 15676 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15669 and 15676. First we will calculate the prime factors of 15669 and 15676.

Prime Factorization of 15669

Prime factors of 15669 are 3, 1741. Prime factorization of 15669 in exponential form is:

15669 = 32 × 17411

Prime Factorization of 15676

Prime factors of 15676 are 2, 3919. Prime factorization of 15676 in exponential form is:

15676 = 22 × 39191

Now multiplying the highest exponent prime factors to calculate the LCM of 15669 and 15676.

LCM(15669,15676) = 32 × 17411 × 22 × 39191
LCM(15669,15676) = 245627244