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What is the Least Common Multiple of 26728 and 26748?

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 26728 and 26748 is 178730136.

LCM(26728,26748) = 178730136

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Least Common Multiple of 26728 and 26748 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26728 and 26748, than apply into the LCM equation.

GCF(26728,26748) = 4
LCM(26728,26748) = ( 26728 × 26748) / 4
LCM(26728,26748) = 714920544 / 4
LCM(26728,26748) = 178730136

Least Common Multiple (LCM) of 26728 and 26748 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26728 and 26748. First we will calculate the prime factors of 26728 and 26748.

Prime Factorization of 26728

Prime factors of 26728 are 2, 13, 257. Prime factorization of 26728 in exponential form is:

26728 = 23 × 131 × 2571

Prime Factorization of 26748

Prime factors of 26748 are 2, 3, 743. Prime factorization of 26748 in exponential form is:

26748 = 22 × 32 × 7431

Now multiplying the highest exponent prime factors to calculate the LCM of 26728 and 26748.

LCM(26728,26748) = 23 × 131 × 2571 × 32 × 7431
LCM(26728,26748) = 178730136