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What is the Least Common Multiple of 26336 and 26356?

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 26336 and 26356 is 173527904.

LCM(26336,26356) = 173527904

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Least Common Multiple of 26336 and 26356 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26336 and 26356, than apply into the LCM equation.

GCF(26336,26356) = 4
LCM(26336,26356) = ( 26336 × 26356) / 4
LCM(26336,26356) = 694111616 / 4
LCM(26336,26356) = 173527904

Least Common Multiple (LCM) of 26336 and 26356 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26336 and 26356. First we will calculate the prime factors of 26336 and 26356.

Prime Factorization of 26336

Prime factors of 26336 are 2, 823. Prime factorization of 26336 in exponential form is:

26336 = 25 × 8231

Prime Factorization of 26356

Prime factors of 26356 are 2, 11, 599. Prime factorization of 26356 in exponential form is:

26356 = 22 × 111 × 5991

Now multiplying the highest exponent prime factors to calculate the LCM of 26336 and 26356.

LCM(26336,26356) = 25 × 8231 × 111 × 5991
LCM(26336,26356) = 173527904