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What is the Least Common Multiple of 55562 and 55578?

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 55562 and 55578 is 1544012418.

LCM(55562,55578) = 1544012418

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Least Common Multiple of 55562 and 55578 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55562 and 55578, than apply into the LCM equation.

GCF(55562,55578) = 2
LCM(55562,55578) = ( 55562 × 55578) / 2
LCM(55562,55578) = 3088024836 / 2
LCM(55562,55578) = 1544012418

Least Common Multiple (LCM) of 55562 and 55578 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55562 and 55578. First we will calculate the prime factors of 55562 and 55578.

Prime Factorization of 55562

Prime factors of 55562 are 2, 13, 2137. Prime factorization of 55562 in exponential form is:

55562 = 21 × 131 × 21371

Prime Factorization of 55578

Prime factors of 55578 are 2, 3, 59, 157. Prime factorization of 55578 in exponential form is:

55578 = 21 × 31 × 591 × 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 55562 and 55578.

LCM(55562,55578) = 21 × 131 × 21371 × 31 × 591 × 1571
LCM(55562,55578) = 1544012418