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What is the Least Common Multiple of 11291 and 11307?

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 11291 and 11307 is 127667337.

LCM(11291,11307) = 127667337

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Least Common Multiple of 11291 and 11307 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11291 and 11307, than apply into the LCM equation.

GCF(11291,11307) = 1
LCM(11291,11307) = ( 11291 × 11307) / 1
LCM(11291,11307) = 127667337 / 1
LCM(11291,11307) = 127667337

Least Common Multiple (LCM) of 11291 and 11307 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11291 and 11307. First we will calculate the prime factors of 11291 and 11307.

Prime Factorization of 11291

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

11291 = 71 × 16131

Prime Factorization of 11307

Prime factors of 11307 are 3, 3769. Prime factorization of 11307 in exponential form is:

11307 = 31 × 37691

Now multiplying the highest exponent prime factors to calculate the LCM of 11291 and 11307.

LCM(11291,11307) = 71 × 16131 × 31 × 37691
LCM(11291,11307) = 127667337