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What is the Least Common Multiple of 26157 and 26162?

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 26162 is 684319434.

LCM(26157,26162) = 684319434

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Least Common Multiple of 26157 and 26162 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 26162, than apply into the LCM equation.

GCF(26157,26162) = 1
LCM(26157,26162) = ( 26157 × 26162) / 1
LCM(26157,26162) = 684319434 / 1
LCM(26157,26162) = 684319434

Least Common Multiple (LCM) of 26157 and 26162 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26157 and 26162. First we will calculate the prime factors of 26157 and 26162.

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 26162

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

26162 = 21 × 1031 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 26157 and 26162.

LCM(26157,26162) = 31 × 87191 × 21 × 1031 × 1271
LCM(26157,26162) = 684319434