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What is the Least Common Multiple of 26166 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 26166 and 26171 is 684790386.

LCM(26166,26171) = 684790386

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Least Common Multiple of 26166 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 26166 and 26171, than apply into the LCM equation.

GCF(26166,26171) = 1
LCM(26166,26171) = ( 26166 × 26171) / 1
LCM(26166,26171) = 684790386 / 1
LCM(26166,26171) = 684790386

Least Common Multiple (LCM) of 26166 and 26171 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26166 and 26171. First we will calculate the prime factors of 26166 and 26171.

Prime Factorization of 26166

Prime factors of 26166 are 2, 3, 7, 89. Prime factorization of 26166 in exponential form is:

26166 = 21 × 31 × 72 × 891

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 26166 and 26171.

LCM(26166,26171) = 21 × 31 × 72 × 891 × 261711
LCM(26166,26171) = 684790386