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What is the Least Common Multiple of 55055 and 55066?

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 55055 and 55066 is 275605330.

LCM(55055,55066) = 275605330

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Least Common Multiple of 55055 and 55066 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55055 and 55066, than apply into the LCM equation.

GCF(55055,55066) = 11
LCM(55055,55066) = ( 55055 × 55066) / 11
LCM(55055,55066) = 3031658630 / 11
LCM(55055,55066) = 275605330

Least Common Multiple (LCM) of 55055 and 55066 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55055 and 55066. First we will calculate the prime factors of 55055 and 55066.

Prime Factorization of 55055

Prime factors of 55055 are 5, 7, 11, 13. Prime factorization of 55055 in exponential form is:

55055 = 51 × 71 × 112 × 131

Prime Factorization of 55066

Prime factors of 55066 are 2, 11, 2503. Prime factorization of 55066 in exponential form is:

55066 = 21 × 111 × 25031

Now multiplying the highest exponent prime factors to calculate the LCM of 55055 and 55066.

LCM(55055,55066) = 51 × 71 × 112 × 131 × 21 × 25031
LCM(55055,55066) = 275605330