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What is the Least Common Multiple of 11881 and 11897?

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 11881 and 11897 is 141348257.

LCM(11881,11897) = 141348257

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Least Common Multiple of 11881 and 11897 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11881 and 11897, than apply into the LCM equation.

GCF(11881,11897) = 1
LCM(11881,11897) = ( 11881 × 11897) / 1
LCM(11881,11897) = 141348257 / 1
LCM(11881,11897) = 141348257

Least Common Multiple (LCM) of 11881 and 11897 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11881 and 11897. First we will calculate the prime factors of 11881 and 11897.

Prime Factorization of 11881

Prime factors of 11881 are 109. Prime factorization of 11881 in exponential form is:

11881 = 1092

Prime Factorization of 11897

Prime factors of 11897 are 11897. Prime factorization of 11897 in exponential form is:

11897 = 118971

Now multiplying the highest exponent prime factors to calculate the LCM of 11881 and 11897.

LCM(11881,11897) = 1092 × 118971
LCM(11881,11897) = 141348257