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What is the Least Common Multiple of 26011 and 26031?

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 26011 and 26031 is 677092341.

LCM(26011,26031) = 677092341

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Least Common Multiple of 26011 and 26031 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26011 and 26031, than apply into the LCM equation.

GCF(26011,26031) = 1
LCM(26011,26031) = ( 26011 × 26031) / 1
LCM(26011,26031) = 677092341 / 1
LCM(26011,26031) = 677092341

Least Common Multiple (LCM) of 26011 and 26031 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26011 and 26031. First we will calculate the prime factors of 26011 and 26031.

Prime Factorization of 26011

Prime factors of 26011 are 19, 37. Prime factorization of 26011 in exponential form is:

26011 = 191 × 372

Prime Factorization of 26031

Prime factors of 26031 are 3, 8677. Prime factorization of 26031 in exponential form is:

26031 = 31 × 86771

Now multiplying the highest exponent prime factors to calculate the LCM of 26011 and 26031.

LCM(26011,26031) = 191 × 372 × 31 × 86771
LCM(26011,26031) = 677092341