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What is the Least Common Multiple of 41933 and 41946?

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 41946 is 1758921618.

LCM(41933,41946) = 1758921618

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Least Common Multiple of 41933 and 41946 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 41946, than apply into the LCM equation.

GCF(41933,41946) = 1
LCM(41933,41946) = ( 41933 × 41946) / 1
LCM(41933,41946) = 1758921618 / 1
LCM(41933,41946) = 1758921618

Least Common Multiple (LCM) of 41933 and 41946 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41933 and 41946. First we will calculate the prime factors of 41933 and 41946.

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 41946

Prime factors of 41946 are 2, 3, 6991. Prime factorization of 41946 in exponential form is:

41946 = 21 × 31 × 69911

Now multiplying the highest exponent prime factors to calculate the LCM of 41933 and 41946.

LCM(41933,41946) = 191 × 22071 × 21 × 31 × 69911
LCM(41933,41946) = 1758921618