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What is the Least Common Multiple of 26011 and 26025?

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 26025 is 676936275.

LCM(26011,26025) = 676936275

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Least Common Multiple of 26011 and 26025 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 26025, than apply into the LCM equation.

GCF(26011,26025) = 1
LCM(26011,26025) = ( 26011 × 26025) / 1
LCM(26011,26025) = 676936275 / 1
LCM(26011,26025) = 676936275

Least Common Multiple (LCM) of 26011 and 26025 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26011 and 26025. First we will calculate the prime factors of 26011 and 26025.

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 26025

Prime factors of 26025 are 3, 5, 347. Prime factorization of 26025 in exponential form is:

26025 = 31 × 52 × 3471

Now multiplying the highest exponent prime factors to calculate the LCM of 26011 and 26025.

LCM(26011,26025) = 191 × 372 × 31 × 52 × 3471
LCM(26011,26025) = 676936275