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What is the Least Common Multiple of 55635 and 55639?

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 55635 and 55639 is 3095475765.

LCM(55635,55639) = 3095475765

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Least Common Multiple of 55635 and 55639 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55635 and 55639, than apply into the LCM equation.

GCF(55635,55639) = 1
LCM(55635,55639) = ( 55635 × 55639) / 1
LCM(55635,55639) = 3095475765 / 1
LCM(55635,55639) = 3095475765

Least Common Multiple (LCM) of 55635 and 55639 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55635 and 55639. First we will calculate the prime factors of 55635 and 55639.

Prime Factorization of 55635

Prime factors of 55635 are 3, 5, 3709. Prime factorization of 55635 in exponential form is:

55635 = 31 × 51 × 37091

Prime Factorization of 55639

Prime factors of 55639 are 55639. Prime factorization of 55639 in exponential form is:

55639 = 556391

Now multiplying the highest exponent prime factors to calculate the LCM of 55635 and 55639.

LCM(55635,55639) = 31 × 51 × 37091 × 556391
LCM(55635,55639) = 3095475765