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What is the Least Common Multiple of 26047 and 26051?

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 26047 and 26051 is 678550397.

LCM(26047,26051) = 678550397

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Least Common Multiple of 26047 and 26051 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26047 and 26051, than apply into the LCM equation.

GCF(26047,26051) = 1
LCM(26047,26051) = ( 26047 × 26051) / 1
LCM(26047,26051) = 678550397 / 1
LCM(26047,26051) = 678550397

Least Common Multiple (LCM) of 26047 and 26051 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26047 and 26051. First we will calculate the prime factors of 26047 and 26051.

Prime Factorization of 26047

Prime factors of 26047 are 7, 61. Prime factorization of 26047 in exponential form is:

26047 = 71 × 612

Prime Factorization of 26051

Prime factors of 26051 are 109, 239. Prime factorization of 26051 in exponential form is:

26051 = 1091 × 2391

Now multiplying the highest exponent prime factors to calculate the LCM of 26047 and 26051.

LCM(26047,26051) = 71 × 612 × 1091 × 2391
LCM(26047,26051) = 678550397