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What is the Least Common Multiple of 26910 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 26910 and 26928 is 40257360.

LCM(26910,26928) = 40257360

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Least Common Multiple of 26910 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 26910 and 26928, than apply into the LCM equation.

GCF(26910,26928) = 18
LCM(26910,26928) = ( 26910 × 26928) / 18
LCM(26910,26928) = 724632480 / 18
LCM(26910,26928) = 40257360

Least Common Multiple (LCM) of 26910 and 26928 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26910 and 26928. First we will calculate the prime factors of 26910 and 26928.

Prime Factorization of 26910

Prime factors of 26910 are 2, 3, 5, 13, 23. Prime factorization of 26910 in exponential form is:

26910 = 21 × 32 × 51 × 131 × 231

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 26910 and 26928.

LCM(26910,26928) = 24 × 32 × 51 × 131 × 231 × 111 × 171
LCM(26910,26928) = 40257360