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What is the Least Common Multiple of 41143 and 41147?

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 41143 and 41147 is 1692911021.

LCM(41143,41147) = 1692911021

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Least Common Multiple of 41143 and 41147 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41143 and 41147, than apply into the LCM equation.

GCF(41143,41147) = 1
LCM(41143,41147) = ( 41143 × 41147) / 1
LCM(41143,41147) = 1692911021 / 1
LCM(41143,41147) = 1692911021

Least Common Multiple (LCM) of 41143 and 41147 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41143 and 41147. First we will calculate the prime factors of 41143 and 41147.

Prime Factorization of 41143

Prime factors of 41143 are 41143. Prime factorization of 41143 in exponential form is:

41143 = 411431

Prime Factorization of 41147

Prime factors of 41147 are 23, 1789. Prime factorization of 41147 in exponential form is:

41147 = 231 × 17891

Now multiplying the highest exponent prime factors to calculate the LCM of 41143 and 41147.

LCM(41143,41147) = 411431 × 231 × 17891
LCM(41143,41147) = 1692911021