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What is the Least Common Multiple of 26642 and 26660?

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 26642 and 26660 is 355137860.

LCM(26642,26660) = 355137860

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Least Common Multiple of 26642 and 26660 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26642 and 26660, than apply into the LCM equation.

GCF(26642,26660) = 2
LCM(26642,26660) = ( 26642 × 26660) / 2
LCM(26642,26660) = 710275720 / 2
LCM(26642,26660) = 355137860

Least Common Multiple (LCM) of 26642 and 26660 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26642 and 26660. First we will calculate the prime factors of 26642 and 26660.

Prime Factorization of 26642

Prime factors of 26642 are 2, 7, 11, 173. Prime factorization of 26642 in exponential form is:

26642 = 21 × 71 × 111 × 1731

Prime Factorization of 26660

Prime factors of 26660 are 2, 5, 31, 43. Prime factorization of 26660 in exponential form is:

26660 = 22 × 51 × 311 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 26642 and 26660.

LCM(26642,26660) = 22 × 71 × 111 × 1731 × 51 × 311 × 431
LCM(26642,26660) = 355137860