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What is the Least Common Multiple of 55631 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 55631 and 55639 is 3095253209.

LCM(55631,55639) = 3095253209

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Least Common Multiple of 55631 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 55631 and 55639, than apply into the LCM equation.

GCF(55631,55639) = 1
LCM(55631,55639) = ( 55631 × 55639) / 1
LCM(55631,55639) = 3095253209 / 1
LCM(55631,55639) = 3095253209

Least Common Multiple (LCM) of 55631 and 55639 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55631 and 55639. First we will calculate the prime factors of 55631 and 55639.

Prime Factorization of 55631

Prime factors of 55631 are 55631. Prime factorization of 55631 in exponential form is:

55631 = 556311

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 55631 and 55639.

LCM(55631,55639) = 556311 × 556391
LCM(55631,55639) = 3095253209