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What is the Least Common Multiple of 55502 and 55516?

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 55502 and 55516 is 1540624516.

LCM(55502,55516) = 1540624516

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Least Common Multiple of 55502 and 55516 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55502 and 55516, than apply into the LCM equation.

GCF(55502,55516) = 2
LCM(55502,55516) = ( 55502 × 55516) / 2
LCM(55502,55516) = 3081249032 / 2
LCM(55502,55516) = 1540624516

Least Common Multiple (LCM) of 55502 and 55516 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55502 and 55516. First we will calculate the prime factors of 55502 and 55516.

Prime Factorization of 55502

Prime factors of 55502 are 2, 27751. Prime factorization of 55502 in exponential form is:

55502 = 21 × 277511

Prime Factorization of 55516

Prime factors of 55516 are 2, 13879. Prime factorization of 55516 in exponential form is:

55516 = 22 × 138791

Now multiplying the highest exponent prime factors to calculate the LCM of 55502 and 55516.

LCM(55502,55516) = 22 × 277511 × 138791
LCM(55502,55516) = 1540624516