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What is the Least Common Multiple of 41234 and 41249?

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 41234 and 41249 is 1700861266.

LCM(41234,41249) = 1700861266

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Least Common Multiple of 41234 and 41249 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41234 and 41249, than apply into the LCM equation.

GCF(41234,41249) = 1
LCM(41234,41249) = ( 41234 × 41249) / 1
LCM(41234,41249) = 1700861266 / 1
LCM(41234,41249) = 1700861266

Least Common Multiple (LCM) of 41234 and 41249 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41234 and 41249. First we will calculate the prime factors of 41234 and 41249.

Prime Factorization of 41234

Prime factors of 41234 are 2, 53, 389. Prime factorization of 41234 in exponential form is:

41234 = 21 × 531 × 3891

Prime Factorization of 41249

Prime factors of 41249 are 13, 19, 167. Prime factorization of 41249 in exponential form is:

41249 = 131 × 191 × 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 41234 and 41249.

LCM(41234,41249) = 21 × 531 × 3891 × 131 × 191 × 1671
LCM(41234,41249) = 1700861266