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What is the Least Common Multiple of 55206 and 55225?

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 55206 and 55225 is 3048751350.

LCM(55206,55225) = 3048751350

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Least Common Multiple of 55206 and 55225 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55206 and 55225, than apply into the LCM equation.

GCF(55206,55225) = 1
LCM(55206,55225) = ( 55206 × 55225) / 1
LCM(55206,55225) = 3048751350 / 1
LCM(55206,55225) = 3048751350

Least Common Multiple (LCM) of 55206 and 55225 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55206 and 55225. First we will calculate the prime factors of 55206 and 55225.

Prime Factorization of 55206

Prime factors of 55206 are 2, 3, 3067. Prime factorization of 55206 in exponential form is:

55206 = 21 × 32 × 30671

Prime Factorization of 55225

Prime factors of 55225 are 5, 47. Prime factorization of 55225 in exponential form is:

55225 = 52 × 472

Now multiplying the highest exponent prime factors to calculate the LCM of 55206 and 55225.

LCM(55206,55225) = 21 × 32 × 30671 × 52 × 472
LCM(55206,55225) = 3048751350