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What is the Least Common Multiple of 13239 and 13256?

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 13239 and 13256 is 175496184.

LCM(13239,13256) = 175496184

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Least Common Multiple of 13239 and 13256 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13239 and 13256, than apply into the LCM equation.

GCF(13239,13256) = 1
LCM(13239,13256) = ( 13239 × 13256) / 1
LCM(13239,13256) = 175496184 / 1
LCM(13239,13256) = 175496184

Least Common Multiple (LCM) of 13239 and 13256 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13239 and 13256. First we will calculate the prime factors of 13239 and 13256.

Prime Factorization of 13239

Prime factors of 13239 are 3, 1471. Prime factorization of 13239 in exponential form is:

13239 = 32 × 14711

Prime Factorization of 13256

Prime factors of 13256 are 2, 1657. Prime factorization of 13256 in exponential form is:

13256 = 23 × 16571

Now multiplying the highest exponent prime factors to calculate the LCM of 13239 and 13256.

LCM(13239,13256) = 32 × 14711 × 23 × 16571
LCM(13239,13256) = 175496184