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What is the Least Common Multiple of 43051 and 43055?

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 43051 and 43055 is 1853560805.

LCM(43051,43055) = 1853560805

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Least Common Multiple of 43051 and 43055 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43051 and 43055, than apply into the LCM equation.

GCF(43051,43055) = 1
LCM(43051,43055) = ( 43051 × 43055) / 1
LCM(43051,43055) = 1853560805 / 1
LCM(43051,43055) = 1853560805

Least Common Multiple (LCM) of 43051 and 43055 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43051 and 43055. First we will calculate the prime factors of 43051 and 43055.

Prime Factorization of 43051

Prime factors of 43051 are 43051. Prime factorization of 43051 in exponential form is:

43051 = 430511

Prime Factorization of 43055

Prime factors of 43055 are 5, 79, 109. Prime factorization of 43055 in exponential form is:

43055 = 51 × 791 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 43051 and 43055.

LCM(43051,43055) = 430511 × 51 × 791 × 1091
LCM(43051,43055) = 1853560805