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What is the Least Common Multiple of 11171 and 11178?

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 11171 and 11178 is 124869438.

LCM(11171,11178) = 124869438

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Least Common Multiple of 11171 and 11178 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11171 and 11178, than apply into the LCM equation.

GCF(11171,11178) = 1
LCM(11171,11178) = ( 11171 × 11178) / 1
LCM(11171,11178) = 124869438 / 1
LCM(11171,11178) = 124869438

Least Common Multiple (LCM) of 11171 and 11178 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11171 and 11178. First we will calculate the prime factors of 11171 and 11178.

Prime Factorization of 11171

Prime factors of 11171 are 11171. Prime factorization of 11171 in exponential form is:

11171 = 111711

Prime Factorization of 11178

Prime factors of 11178 are 2, 3, 23. Prime factorization of 11178 in exponential form is:

11178 = 21 × 35 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 11171 and 11178.

LCM(11171,11178) = 111711 × 21 × 35 × 231
LCM(11171,11178) = 124869438