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What is the Least Common Multiple of 26752 and 26760?

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 26752 and 26760 is 89485440.

LCM(26752,26760) = 89485440

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Least Common Multiple of 26752 and 26760 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26752 and 26760, than apply into the LCM equation.

GCF(26752,26760) = 8
LCM(26752,26760) = ( 26752 × 26760) / 8
LCM(26752,26760) = 715883520 / 8
LCM(26752,26760) = 89485440

Least Common Multiple (LCM) of 26752 and 26760 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26752 and 26760. First we will calculate the prime factors of 26752 and 26760.

Prime Factorization of 26752

Prime factors of 26752 are 2, 11, 19. Prime factorization of 26752 in exponential form is:

26752 = 27 × 111 × 191

Prime Factorization of 26760

Prime factors of 26760 are 2, 3, 5, 223. Prime factorization of 26760 in exponential form is:

26760 = 23 × 31 × 51 × 2231

Now multiplying the highest exponent prime factors to calculate the LCM of 26752 and 26760.

LCM(26752,26760) = 27 × 111 × 191 × 31 × 51 × 2231
LCM(26752,26760) = 89485440