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What is the Least Common Multiple of 26728 and 26732?

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 26732 is 178623224.

LCM(26728,26732) = 178623224

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Least Common Multiple of 26728 and 26732 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 26732, than apply into the LCM equation.

GCF(26728,26732) = 4
LCM(26728,26732) = ( 26728 × 26732) / 4
LCM(26728,26732) = 714492896 / 4
LCM(26728,26732) = 178623224

Least Common Multiple (LCM) of 26728 and 26732 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26728 and 26732. First we will calculate the prime factors of 26728 and 26732.

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 26732

Prime factors of 26732 are 2, 41, 163. Prime factorization of 26732 in exponential form is:

26732 = 22 × 411 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 26728 and 26732.

LCM(26728,26732) = 23 × 131 × 2571 × 411 × 1631
LCM(26728,26732) = 178623224