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What is the Least Common Multiple of 26265 and 26279?

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 26265 and 26279 is 690217935.

LCM(26265,26279) = 690217935

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Least Common Multiple of 26265 and 26279 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26265 and 26279, than apply into the LCM equation.

GCF(26265,26279) = 1
LCM(26265,26279) = ( 26265 × 26279) / 1
LCM(26265,26279) = 690217935 / 1
LCM(26265,26279) = 690217935

Least Common Multiple (LCM) of 26265 and 26279 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26265 and 26279. First we will calculate the prime factors of 26265 and 26279.

Prime Factorization of 26265

Prime factors of 26265 are 3, 5, 17, 103. Prime factorization of 26265 in exponential form is:

26265 = 31 × 51 × 171 × 1031

Prime Factorization of 26279

Prime factors of 26279 are 11, 2389. Prime factorization of 26279 in exponential form is:

26279 = 111 × 23891

Now multiplying the highest exponent prime factors to calculate the LCM of 26265 and 26279.

LCM(26265,26279) = 31 × 51 × 171 × 1031 × 111 × 23891
LCM(26265,26279) = 690217935