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What is the Least Common Multiple of 11635 and 11646?

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 11635 and 11646 is 135501210.

LCM(11635,11646) = 135501210

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Least Common Multiple of 11635 and 11646 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11635 and 11646, than apply into the LCM equation.

GCF(11635,11646) = 1
LCM(11635,11646) = ( 11635 × 11646) / 1
LCM(11635,11646) = 135501210 / 1
LCM(11635,11646) = 135501210

Least Common Multiple (LCM) of 11635 and 11646 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11635 and 11646. First we will calculate the prime factors of 11635 and 11646.

Prime Factorization of 11635

Prime factors of 11635 are 5, 13, 179. Prime factorization of 11635 in exponential form is:

11635 = 51 × 131 × 1791

Prime Factorization of 11646

Prime factors of 11646 are 2, 3, 647. Prime factorization of 11646 in exponential form is:

11646 = 21 × 32 × 6471

Now multiplying the highest exponent prime factors to calculate the LCM of 11635 and 11646.

LCM(11635,11646) = 51 × 131 × 1791 × 21 × 32 × 6471
LCM(11635,11646) = 135501210