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What is the Least Common Multiple of 26158 and 26164?

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 26158 and 26164 is 342198956.

LCM(26158,26164) = 342198956

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Least Common Multiple of 26158 and 26164 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26158 and 26164, than apply into the LCM equation.

GCF(26158,26164) = 2
LCM(26158,26164) = ( 26158 × 26164) / 2
LCM(26158,26164) = 684397912 / 2
LCM(26158,26164) = 342198956

Least Common Multiple (LCM) of 26158 and 26164 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26158 and 26164. First we will calculate the prime factors of 26158 and 26164.

Prime Factorization of 26158

Prime factors of 26158 are 2, 11, 29, 41. Prime factorization of 26158 in exponential form is:

26158 = 21 × 111 × 291 × 411

Prime Factorization of 26164

Prime factors of 26164 are 2, 31, 211. Prime factorization of 26164 in exponential form is:

26164 = 22 × 311 × 2111

Now multiplying the highest exponent prime factors to calculate the LCM of 26158 and 26164.

LCM(26158,26164) = 22 × 111 × 291 × 411 × 311 × 2111
LCM(26158,26164) = 342198956