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What is the Least Common Multiple of 26912 and 26928?

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 26912 and 26928 is 45292896.

LCM(26912,26928) = 45292896

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Least Common Multiple of 26912 and 26928 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26912 and 26928, than apply into the LCM equation.

GCF(26912,26928) = 16
LCM(26912,26928) = ( 26912 × 26928) / 16
LCM(26912,26928) = 724686336 / 16
LCM(26912,26928) = 45292896

Least Common Multiple (LCM) of 26912 and 26928 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26912 and 26928. First we will calculate the prime factors of 26912 and 26928.

Prime Factorization of 26912

Prime factors of 26912 are 2, 29. Prime factorization of 26912 in exponential form is:

26912 = 25 × 292

Prime Factorization of 26928

Prime factors of 26928 are 2, 3, 11, 17. Prime factorization of 26928 in exponential form is:

26928 = 24 × 32 × 111 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 26912 and 26928.

LCM(26912,26928) = 25 × 292 × 32 × 111 × 171
LCM(26912,26928) = 45292896