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What is the Least Common Multiple of 41203 and 41211?

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 41203 and 41211 is 1698016833.

LCM(41203,41211) = 1698016833

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Least Common Multiple of 41203 and 41211 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41203 and 41211, than apply into the LCM equation.

GCF(41203,41211) = 1
LCM(41203,41211) = ( 41203 × 41211) / 1
LCM(41203,41211) = 1698016833 / 1
LCM(41203,41211) = 1698016833

Least Common Multiple (LCM) of 41203 and 41211 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41203 and 41211. First we will calculate the prime factors of 41203 and 41211.

Prime Factorization of 41203

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

41203 = 412031

Prime Factorization of 41211

Prime factors of 41211 are 3, 19, 241. Prime factorization of 41211 in exponential form is:

41211 = 32 × 191 × 2411

Now multiplying the highest exponent prime factors to calculate the LCM of 41203 and 41211.

LCM(41203,41211) = 412031 × 32 × 191 × 2411
LCM(41203,41211) = 1698016833