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What is the Least Common Multiple of 55516 and 55530?

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 55516 and 55530 is 1541401740.

LCM(55516,55530) = 1541401740

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Least Common Multiple of 55516 and 55530 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55516 and 55530, than apply into the LCM equation.

GCF(55516,55530) = 2
LCM(55516,55530) = ( 55516 × 55530) / 2
LCM(55516,55530) = 3082803480 / 2
LCM(55516,55530) = 1541401740

Least Common Multiple (LCM) of 55516 and 55530 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55516 and 55530. First we will calculate the prime factors of 55516 and 55530.

Prime Factorization of 55516

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

55516 = 22 × 138791

Prime Factorization of 55530

Prime factors of 55530 are 2, 3, 5, 617. Prime factorization of 55530 in exponential form is:

55530 = 21 × 32 × 51 × 6171

Now multiplying the highest exponent prime factors to calculate the LCM of 55516 and 55530.

LCM(55516,55530) = 22 × 138791 × 32 × 51 × 6171
LCM(55516,55530) = 1541401740