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What is the Least Common Multiple of 26645 and 26662?

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 26645 and 26662 is 710408990.

LCM(26645,26662) = 710408990

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Least Common Multiple of 26645 and 26662 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26645 and 26662, than apply into the LCM equation.

GCF(26645,26662) = 1
LCM(26645,26662) = ( 26645 × 26662) / 1
LCM(26645,26662) = 710408990 / 1
LCM(26645,26662) = 710408990

Least Common Multiple (LCM) of 26645 and 26662 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26645 and 26662. First we will calculate the prime factors of 26645 and 26662.

Prime Factorization of 26645

Prime factors of 26645 are 5, 73. Prime factorization of 26645 in exponential form is:

26645 = 51 × 732

Prime Factorization of 26662

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

26662 = 21 × 133311

Now multiplying the highest exponent prime factors to calculate the LCM of 26645 and 26662.

LCM(26645,26662) = 51 × 732 × 21 × 133311
LCM(26645,26662) = 710408990