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What is the Least Common Multiple of 55617 and 55628?

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 55617 and 55628 is 3093862476.

LCM(55617,55628) = 3093862476

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Least Common Multiple of 55617 and 55628 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55617 and 55628, than apply into the LCM equation.

GCF(55617,55628) = 1
LCM(55617,55628) = ( 55617 × 55628) / 1
LCM(55617,55628) = 3093862476 / 1
LCM(55617,55628) = 3093862476

Least Common Multiple (LCM) of 55617 and 55628 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55617 and 55628. First we will calculate the prime factors of 55617 and 55628.

Prime Factorization of 55617

Prime factors of 55617 are 3, 18539. Prime factorization of 55617 in exponential form is:

55617 = 31 × 185391

Prime Factorization of 55628

Prime factors of 55628 are 2, 13907. Prime factorization of 55628 in exponential form is:

55628 = 22 × 139071

Now multiplying the highest exponent prime factors to calculate the LCM of 55617 and 55628.

LCM(55617,55628) = 31 × 185391 × 22 × 139071
LCM(55617,55628) = 3093862476