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What is the Least Common Multiple of 26417 and 26421?

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 26417 and 26421 is 697963557.

LCM(26417,26421) = 697963557

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Least Common Multiple of 26417 and 26421 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26417 and 26421, than apply into the LCM equation.

GCF(26417,26421) = 1
LCM(26417,26421) = ( 26417 × 26421) / 1
LCM(26417,26421) = 697963557 / 1
LCM(26417,26421) = 697963557

Least Common Multiple (LCM) of 26417 and 26421 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26417 and 26421. First we will calculate the prime factors of 26417 and 26421.

Prime Factorization of 26417

Prime factors of 26417 are 26417. Prime factorization of 26417 in exponential form is:

26417 = 264171

Prime Factorization of 26421

Prime factors of 26421 are 3, 8807. Prime factorization of 26421 in exponential form is:

26421 = 31 × 88071

Now multiplying the highest exponent prime factors to calculate the LCM of 26417 and 26421.

LCM(26417,26421) = 264171 × 31 × 88071
LCM(26417,26421) = 697963557