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What is the Least Common Multiple of 26941 and 26955?

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 26941 and 26955 is 726194655.

LCM(26941,26955) = 726194655

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Least Common Multiple of 26941 and 26955 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26941 and 26955, than apply into the LCM equation.

GCF(26941,26955) = 1
LCM(26941,26955) = ( 26941 × 26955) / 1
LCM(26941,26955) = 726194655 / 1
LCM(26941,26955) = 726194655

Least Common Multiple (LCM) of 26941 and 26955 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26941 and 26955. First we will calculate the prime factors of 26941 and 26955.

Prime Factorization of 26941

Prime factors of 26941 are 29, 929. Prime factorization of 26941 in exponential form is:

26941 = 291 × 9291

Prime Factorization of 26955

Prime factors of 26955 are 3, 5, 599. Prime factorization of 26955 in exponential form is:

26955 = 32 × 51 × 5991

Now multiplying the highest exponent prime factors to calculate the LCM of 26941 and 26955.

LCM(26941,26955) = 291 × 9291 × 32 × 51 × 5991
LCM(26941,26955) = 726194655