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What is the Least Common Multiple of 66043 and 66055?

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 66043 and 66055 is 4362470365.

LCM(66043,66055) = 4362470365

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Least Common Multiple of 66043 and 66055 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66043 and 66055, than apply into the LCM equation.

GCF(66043,66055) = 1
LCM(66043,66055) = ( 66043 × 66055) / 1
LCM(66043,66055) = 4362470365 / 1
LCM(66043,66055) = 4362470365

Least Common Multiple (LCM) of 66043 and 66055 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66043 and 66055. First we will calculate the prime factors of 66043 and 66055.

Prime Factorization of 66043

Prime factors of 66043 are 211, 313. Prime factorization of 66043 in exponential form is:

66043 = 2111 × 3131

Prime Factorization of 66055

Prime factors of 66055 are 5, 11, 1201. Prime factorization of 66055 in exponential form is:

66055 = 51 × 111 × 12011

Now multiplying the highest exponent prime factors to calculate the LCM of 66043 and 66055.

LCM(66043,66055) = 2111 × 3131 × 51 × 111 × 12011
LCM(66043,66055) = 4362470365