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What is the Least Common Multiple of 55648 and 55667?

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 55648 and 55667 is 3097757216.

LCM(55648,55667) = 3097757216

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Least Common Multiple of 55648 and 55667 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55648 and 55667, than apply into the LCM equation.

GCF(55648,55667) = 1
LCM(55648,55667) = ( 55648 × 55667) / 1
LCM(55648,55667) = 3097757216 / 1
LCM(55648,55667) = 3097757216

Least Common Multiple (LCM) of 55648 and 55667 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55648 and 55667. First we will calculate the prime factors of 55648 and 55667.

Prime Factorization of 55648

Prime factors of 55648 are 2, 37, 47. Prime factorization of 55648 in exponential form is:

55648 = 25 × 371 × 471

Prime Factorization of 55667

Prime factors of 55667 are 55667. Prime factorization of 55667 in exponential form is:

55667 = 556671

Now multiplying the highest exponent prime factors to calculate the LCM of 55648 and 55667.

LCM(55648,55667) = 25 × 371 × 471 × 556671
LCM(55648,55667) = 3097757216