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What is the Least Common Multiple of 55057 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 55057 and 55066 is 3031768762.

LCM(55057,55066) = 3031768762

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Least Common Multiple of 55057 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 55057 and 55066, than apply into the LCM equation.

GCF(55057,55066) = 1
LCM(55057,55066) = ( 55057 × 55066) / 1
LCM(55057,55066) = 3031768762 / 1
LCM(55057,55066) = 3031768762

Least Common Multiple (LCM) of 55057 and 55066 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55057 and 55066. First we will calculate the prime factors of 55057 and 55066.

Prime Factorization of 55057

Prime factors of 55057 are 55057. Prime factorization of 55057 in exponential form is:

55057 = 550571

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 55057 and 55066.

LCM(55057,55066) = 550571 × 21 × 111 × 25031
LCM(55057,55066) = 3031768762