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What is the Least Common Multiple of 55226 and 55235?

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 55226 and 55235 is 3050408110.

LCM(55226,55235) = 3050408110

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Least Common Multiple of 55226 and 55235 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55226 and 55235, than apply into the LCM equation.

GCF(55226,55235) = 1
LCM(55226,55235) = ( 55226 × 55235) / 1
LCM(55226,55235) = 3050408110 / 1
LCM(55226,55235) = 3050408110

Least Common Multiple (LCM) of 55226 and 55235 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55226 and 55235. First we will calculate the prime factors of 55226 and 55235.

Prime Factorization of 55226

Prime factors of 55226 are 2, 53, 521. Prime factorization of 55226 in exponential form is:

55226 = 21 × 531 × 5211

Prime Factorization of 55235

Prime factors of 55235 are 5, 11047. Prime factorization of 55235 in exponential form is:

55235 = 51 × 110471

Now multiplying the highest exponent prime factors to calculate the LCM of 55226 and 55235.

LCM(55226,55235) = 21 × 531 × 5211 × 51 × 110471
LCM(55226,55235) = 3050408110