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What is the Least Common Multiple of 41191 and 41203?

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 41191 and 41203 is 1697192773.

LCM(41191,41203) = 1697192773

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Least Common Multiple of 41191 and 41203 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41191 and 41203, than apply into the LCM equation.

GCF(41191,41203) = 1
LCM(41191,41203) = ( 41191 × 41203) / 1
LCM(41191,41203) = 1697192773 / 1
LCM(41191,41203) = 1697192773

Least Common Multiple (LCM) of 41191 and 41203 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41191 and 41203. First we will calculate the prime factors of 41191 and 41203.

Prime Factorization of 41191

Prime factors of 41191 are 17, 2423. Prime factorization of 41191 in exponential form is:

41191 = 171 × 24231

Prime Factorization of 41203

Prime factors of 41203 are 41203. Prime factorization of 41203 in exponential form is:

41203 = 412031

Now multiplying the highest exponent prime factors to calculate the LCM of 41191 and 41203.

LCM(41191,41203) = 171 × 24231 × 412031
LCM(41191,41203) = 1697192773