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What is the Least Common Multiple of 11641 and 11656?

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 11641 and 11656 is 135687496.

LCM(11641,11656) = 135687496

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Least Common Multiple of 11641 and 11656 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11641 and 11656, than apply into the LCM equation.

GCF(11641,11656) = 1
LCM(11641,11656) = ( 11641 × 11656) / 1
LCM(11641,11656) = 135687496 / 1
LCM(11641,11656) = 135687496

Least Common Multiple (LCM) of 11641 and 11656 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11641 and 11656. First we will calculate the prime factors of 11641 and 11656.

Prime Factorization of 11641

Prime factors of 11641 are 7, 1663. Prime factorization of 11641 in exponential form is:

11641 = 71 × 16631

Prime Factorization of 11656

Prime factors of 11656 are 2, 31, 47. Prime factorization of 11656 in exponential form is:

11656 = 23 × 311 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 11641 and 11656.

LCM(11641,11656) = 71 × 16631 × 23 × 311 × 471
LCM(11641,11656) = 135687496