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What is the Least Common Multiple of 26156 and 26165?

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 26156 and 26165 is 684371740.

LCM(26156,26165) = 684371740

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Least Common Multiple of 26156 and 26165 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26156 and 26165, than apply into the LCM equation.

GCF(26156,26165) = 1
LCM(26156,26165) = ( 26156 × 26165) / 1
LCM(26156,26165) = 684371740 / 1
LCM(26156,26165) = 684371740

Least Common Multiple (LCM) of 26156 and 26165 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26156 and 26165. First we will calculate the prime factors of 26156 and 26165.

Prime Factorization of 26156

Prime factors of 26156 are 2, 13, 503. Prime factorization of 26156 in exponential form is:

26156 = 22 × 131 × 5031

Prime Factorization of 26165

Prime factors of 26165 are 5, 5233. Prime factorization of 26165 in exponential form is:

26165 = 51 × 52331

Now multiplying the highest exponent prime factors to calculate the LCM of 26156 and 26165.

LCM(26156,26165) = 22 × 131 × 5031 × 51 × 52331
LCM(26156,26165) = 684371740