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What is the Least Common Multiple of 41933 and 41950?

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 41933 and 41950 is 1759089350.

LCM(41933,41950) = 1759089350

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Least Common Multiple of 41933 and 41950 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41933 and 41950, than apply into the LCM equation.

GCF(41933,41950) = 1
LCM(41933,41950) = ( 41933 × 41950) / 1
LCM(41933,41950) = 1759089350 / 1
LCM(41933,41950) = 1759089350

Least Common Multiple (LCM) of 41933 and 41950 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41933 and 41950. First we will calculate the prime factors of 41933 and 41950.

Prime Factorization of 41933

Prime factors of 41933 are 19, 2207. Prime factorization of 41933 in exponential form is:

41933 = 191 × 22071

Prime Factorization of 41950

Prime factors of 41950 are 2, 5, 839. Prime factorization of 41950 in exponential form is:

41950 = 21 × 52 × 8391

Now multiplying the highest exponent prime factors to calculate the LCM of 41933 and 41950.

LCM(41933,41950) = 191 × 22071 × 21 × 52 × 8391
LCM(41933,41950) = 1759089350