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What is the Least Common Multiple of 41366 and 41373?

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 41366 and 41373 is 1711435518.

LCM(41366,41373) = 1711435518

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Least Common Multiple of 41366 and 41373 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41366 and 41373, than apply into the LCM equation.

GCF(41366,41373) = 1
LCM(41366,41373) = ( 41366 × 41373) / 1
LCM(41366,41373) = 1711435518 / 1
LCM(41366,41373) = 1711435518

Least Common Multiple (LCM) of 41366 and 41373 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41366 and 41373. First we will calculate the prime factors of 41366 and 41373.

Prime Factorization of 41366

Prime factors of 41366 are 2, 13, 37, 43. Prime factorization of 41366 in exponential form is:

41366 = 21 × 131 × 371 × 431

Prime Factorization of 41373

Prime factors of 41373 are 3, 4597. Prime factorization of 41373 in exponential form is:

41373 = 32 × 45971

Now multiplying the highest exponent prime factors to calculate the LCM of 41366 and 41373.

LCM(41366,41373) = 21 × 131 × 371 × 431 × 32 × 45971
LCM(41366,41373) = 1711435518