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What is the Least Common Multiple of 55658 and 55672?

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 55658 and 55672 is 1549296088.

LCM(55658,55672) = 1549296088

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Least Common Multiple of 55658 and 55672 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55658 and 55672, than apply into the LCM equation.

GCF(55658,55672) = 2
LCM(55658,55672) = ( 55658 × 55672) / 2
LCM(55658,55672) = 3098592176 / 2
LCM(55658,55672) = 1549296088

Least Common Multiple (LCM) of 55658 and 55672 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55658 and 55672. First we will calculate the prime factors of 55658 and 55672.

Prime Factorization of 55658

Prime factors of 55658 are 2, 17, 1637. Prime factorization of 55658 in exponential form is:

55658 = 21 × 171 × 16371

Prime Factorization of 55672

Prime factors of 55672 are 2, 6959. Prime factorization of 55672 in exponential form is:

55672 = 23 × 69591

Now multiplying the highest exponent prime factors to calculate the LCM of 55658 and 55672.

LCM(55658,55672) = 23 × 171 × 16371 × 69591
LCM(55658,55672) = 1549296088