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What is the Least Common Multiple of 11274 and 11291?

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 11274 and 11291 is 127294734.

LCM(11274,11291) = 127294734

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Least Common Multiple of 11274 and 11291 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11274 and 11291, than apply into the LCM equation.

GCF(11274,11291) = 1
LCM(11274,11291) = ( 11274 × 11291) / 1
LCM(11274,11291) = 127294734 / 1
LCM(11274,11291) = 127294734

Least Common Multiple (LCM) of 11274 and 11291 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11274 and 11291. First we will calculate the prime factors of 11274 and 11291.

Prime Factorization of 11274

Prime factors of 11274 are 2, 3, 1879. Prime factorization of 11274 in exponential form is:

11274 = 21 × 31 × 18791

Prime Factorization of 11291

Prime factors of 11291 are 7, 1613. Prime factorization of 11291 in exponential form is:

11291 = 71 × 16131

Now multiplying the highest exponent prime factors to calculate the LCM of 11274 and 11291.

LCM(11274,11291) = 21 × 31 × 18791 × 71 × 16131
LCM(11274,11291) = 127294734