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What is the Least Common Multiple of 11641 and 11658?

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 11658 is 135710778.

LCM(11641,11658) = 135710778

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Least Common Multiple of 11641 and 11658 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 11658, than apply into the LCM equation.

GCF(11641,11658) = 1
LCM(11641,11658) = ( 11641 × 11658) / 1
LCM(11641,11658) = 135710778 / 1
LCM(11641,11658) = 135710778

Least Common Multiple (LCM) of 11641 and 11658 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11641 and 11658. First we will calculate the prime factors of 11641 and 11658.

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 11658

Prime factors of 11658 are 2, 3, 29, 67. Prime factorization of 11658 in exponential form is:

11658 = 21 × 31 × 291 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 11641 and 11658.

LCM(11641,11658) = 71 × 16631 × 21 × 31 × 291 × 671
LCM(11641,11658) = 135710778