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What is the Least Common Multiple of 26162 and 26172?

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 26162 and 26172 is 342355932.

LCM(26162,26172) = 342355932

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Least Common Multiple of 26162 and 26172 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26162 and 26172, than apply into the LCM equation.

GCF(26162,26172) = 2
LCM(26162,26172) = ( 26162 × 26172) / 2
LCM(26162,26172) = 684711864 / 2
LCM(26162,26172) = 342355932

Least Common Multiple (LCM) of 26162 and 26172 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26162 and 26172. First we will calculate the prime factors of 26162 and 26172.

Prime Factorization of 26162

Prime factors of 26162 are 2, 103, 127. Prime factorization of 26162 in exponential form is:

26162 = 21 × 1031 × 1271

Prime Factorization of 26172

Prime factors of 26172 are 2, 3, 727. Prime factorization of 26172 in exponential form is:

26172 = 22 × 32 × 7271

Now multiplying the highest exponent prime factors to calculate the LCM of 26162 and 26172.

LCM(26162,26172) = 22 × 1031 × 1271 × 32 × 7271
LCM(26162,26172) = 342355932