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What is the Least Common Multiple of 26756 and 26776?

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 26756 and 26776 is 179104664.

LCM(26756,26776) = 179104664

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Least Common Multiple of 26756 and 26776 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26756 and 26776, than apply into the LCM equation.

GCF(26756,26776) = 4
LCM(26756,26776) = ( 26756 × 26776) / 4
LCM(26756,26776) = 716418656 / 4
LCM(26756,26776) = 179104664

Least Common Multiple (LCM) of 26756 and 26776 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26756 and 26776. First we will calculate the prime factors of 26756 and 26776.

Prime Factorization of 26756

Prime factors of 26756 are 2, 6689. Prime factorization of 26756 in exponential form is:

26756 = 22 × 66891

Prime Factorization of 26776

Prime factors of 26776 are 2, 3347. Prime factorization of 26776 in exponential form is:

26776 = 23 × 33471

Now multiplying the highest exponent prime factors to calculate the LCM of 26756 and 26776.

LCM(26756,26776) = 23 × 66891 × 33471
LCM(26756,26776) = 179104664