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What is the Least Common Multiple of 55780 and 55798?

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 55780 and 55798 is 1556206220.

LCM(55780,55798) = 1556206220

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Least Common Multiple of 55780 and 55798 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55780 and 55798, than apply into the LCM equation.

GCF(55780,55798) = 2
LCM(55780,55798) = ( 55780 × 55798) / 2
LCM(55780,55798) = 3112412440 / 2
LCM(55780,55798) = 1556206220

Least Common Multiple (LCM) of 55780 and 55798 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55780 and 55798. First we will calculate the prime factors of 55780 and 55798.

Prime Factorization of 55780

Prime factors of 55780 are 2, 5, 2789. Prime factorization of 55780 in exponential form is:

55780 = 22 × 51 × 27891

Prime Factorization of 55798

Prime factors of 55798 are 2, 23, 1213. Prime factorization of 55798 in exponential form is:

55798 = 21 × 231 × 12131

Now multiplying the highest exponent prime factors to calculate the LCM of 55780 and 55798.

LCM(55780,55798) = 22 × 51 × 27891 × 231 × 12131
LCM(55780,55798) = 1556206220