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What is the Least Common Multiple of 26163 and 26171?

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 26163 and 26171 is 684711873.

LCM(26163,26171) = 684711873

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Least Common Multiple of 26163 and 26171 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26163 and 26171, than apply into the LCM equation.

GCF(26163,26171) = 1
LCM(26163,26171) = ( 26163 × 26171) / 1
LCM(26163,26171) = 684711873 / 1
LCM(26163,26171) = 684711873

Least Common Multiple (LCM) of 26163 and 26171 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26163 and 26171. First we will calculate the prime factors of 26163 and 26171.

Prime Factorization of 26163

Prime factors of 26163 are 3, 17, 19. Prime factorization of 26163 in exponential form is:

26163 = 34 × 171 × 191

Prime Factorization of 26171

Prime factors of 26171 are 26171. Prime factorization of 26171 in exponential form is:

26171 = 261711

Now multiplying the highest exponent prime factors to calculate the LCM of 26163 and 26171.

LCM(26163,26171) = 34 × 171 × 191 × 261711
LCM(26163,26171) = 684711873