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What is the Least Common Multiple of 26157 and 26173?

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 26157 and 26173 is 684607161.

LCM(26157,26173) = 684607161

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Least Common Multiple of 26157 and 26173 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26157 and 26173, than apply into the LCM equation.

GCF(26157,26173) = 1
LCM(26157,26173) = ( 26157 × 26173) / 1
LCM(26157,26173) = 684607161 / 1
LCM(26157,26173) = 684607161

Least Common Multiple (LCM) of 26157 and 26173 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26157 and 26173. First we will calculate the prime factors of 26157 and 26173.

Prime Factorization of 26157

Prime factors of 26157 are 3, 8719. Prime factorization of 26157 in exponential form is:

26157 = 31 × 87191

Prime Factorization of 26173

Prime factors of 26173 are 7, 3739. Prime factorization of 26173 in exponential form is:

26173 = 71 × 37391

Now multiplying the highest exponent prime factors to calculate the LCM of 26157 and 26173.

LCM(26157,26173) = 31 × 87191 × 71 × 37391
LCM(26157,26173) = 684607161