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What is the Least Common Multiple of 26221 and 26235?

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 26221 and 26235 is 687907935.

LCM(26221,26235) = 687907935

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Least Common Multiple of 26221 and 26235 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26221 and 26235, than apply into the LCM equation.

GCF(26221,26235) = 1
LCM(26221,26235) = ( 26221 × 26235) / 1
LCM(26221,26235) = 687907935 / 1
LCM(26221,26235) = 687907935

Least Common Multiple (LCM) of 26221 and 26235 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26221 and 26235. First we will calculate the prime factors of 26221 and 26235.

Prime Factorization of 26221

Prime factors of 26221 are 13, 2017. Prime factorization of 26221 in exponential form is:

26221 = 131 × 20171

Prime Factorization of 26235

Prime factors of 26235 are 3, 5, 11, 53. Prime factorization of 26235 in exponential form is:

26235 = 32 × 51 × 111 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 26221 and 26235.

LCM(26221,26235) = 131 × 20171 × 32 × 51 × 111 × 531
LCM(26221,26235) = 687907935