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What is the Least Common Multiple of 43042 and 43051?

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 43042 and 43051 is 1853001142.

LCM(43042,43051) = 1853001142

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Least Common Multiple of 43042 and 43051 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43042 and 43051, than apply into the LCM equation.

GCF(43042,43051) = 1
LCM(43042,43051) = ( 43042 × 43051) / 1
LCM(43042,43051) = 1853001142 / 1
LCM(43042,43051) = 1853001142

Least Common Multiple (LCM) of 43042 and 43051 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43042 and 43051. First we will calculate the prime factors of 43042 and 43051.

Prime Factorization of 43042

Prime factors of 43042 are 2, 21521. Prime factorization of 43042 in exponential form is:

43042 = 21 × 215211

Prime Factorization of 43051

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

43051 = 430511

Now multiplying the highest exponent prime factors to calculate the LCM of 43042 and 43051.

LCM(43042,43051) = 21 × 215211 × 430511
LCM(43042,43051) = 1853001142