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What is the Least Common Multiple of 26796 and 26816?

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 26796 and 26816 is 179640384.

LCM(26796,26816) = 179640384

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Least Common Multiple of 26796 and 26816 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26796 and 26816, than apply into the LCM equation.

GCF(26796,26816) = 4
LCM(26796,26816) = ( 26796 × 26816) / 4
LCM(26796,26816) = 718561536 / 4
LCM(26796,26816) = 179640384

Least Common Multiple (LCM) of 26796 and 26816 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26796 and 26816. First we will calculate the prime factors of 26796 and 26816.

Prime Factorization of 26796

Prime factors of 26796 are 2, 3, 7, 11, 29. Prime factorization of 26796 in exponential form is:

26796 = 22 × 31 × 71 × 111 × 291

Prime Factorization of 26816

Prime factors of 26816 are 2, 419. Prime factorization of 26816 in exponential form is:

26816 = 26 × 4191

Now multiplying the highest exponent prime factors to calculate the LCM of 26796 and 26816.

LCM(26796,26816) = 26 × 31 × 71 × 111 × 291 × 4191
LCM(26796,26816) = 179640384