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What is the Least Common Multiple of 26001 and 26012?

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 26001 and 26012 is 676338012.

LCM(26001,26012) = 676338012

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Least Common Multiple of 26001 and 26012 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26001 and 26012, than apply into the LCM equation.

GCF(26001,26012) = 1
LCM(26001,26012) = ( 26001 × 26012) / 1
LCM(26001,26012) = 676338012 / 1
LCM(26001,26012) = 676338012

Least Common Multiple (LCM) of 26001 and 26012 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26001 and 26012. First we will calculate the prime factors of 26001 and 26012.

Prime Factorization of 26001

Prime factors of 26001 are 3, 107. Prime factorization of 26001 in exponential form is:

26001 = 35 × 1071

Prime Factorization of 26012

Prime factors of 26012 are 2, 7, 929. Prime factorization of 26012 in exponential form is:

26012 = 22 × 71 × 9291

Now multiplying the highest exponent prime factors to calculate the LCM of 26001 and 26012.

LCM(26001,26012) = 35 × 1071 × 22 × 71 × 9291
LCM(26001,26012) = 676338012