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What is the Least Common Multiple of 26662 and 26680?

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 26662 and 26680 is 355671080.

LCM(26662,26680) = 355671080

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Least Common Multiple of 26662 and 26680 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26662 and 26680, than apply into the LCM equation.

GCF(26662,26680) = 2
LCM(26662,26680) = ( 26662 × 26680) / 2
LCM(26662,26680) = 711342160 / 2
LCM(26662,26680) = 355671080

Least Common Multiple (LCM) of 26662 and 26680 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26662 and 26680. First we will calculate the prime factors of 26662 and 26680.

Prime Factorization of 26662

Prime factors of 26662 are 2, 13331. Prime factorization of 26662 in exponential form is:

26662 = 21 × 133311

Prime Factorization of 26680

Prime factors of 26680 are 2, 5, 23, 29. Prime factorization of 26680 in exponential form is:

26680 = 23 × 51 × 231 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 26662 and 26680.

LCM(26662,26680) = 23 × 133311 × 51 × 231 × 291
LCM(26662,26680) = 355671080