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What is the Least Common Multiple of 26166 and 26177?

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 26177 is 684947382.

LCM(26166,26177) = 684947382

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Least Common Multiple of 26166 and 26177 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 26177, than apply into the LCM equation.

GCF(26166,26177) = 1
LCM(26166,26177) = ( 26166 × 26177) / 1
LCM(26166,26177) = 684947382 / 1
LCM(26166,26177) = 684947382

Least Common Multiple (LCM) of 26166 and 26177 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26166 and 26177. First we will calculate the prime factors of 26166 and 26177.

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 26177

Prime factors of 26177 are 26177. Prime factorization of 26177 in exponential form is:

26177 = 261771

Now multiplying the highest exponent prime factors to calculate the LCM of 26166 and 26177.

LCM(26166,26177) = 21 × 31 × 72 × 891 × 261771
LCM(26166,26177) = 684947382