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What is the Least Common Multiple of 41373 and 41391?

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 41373 and 41391 is 190274427.

LCM(41373,41391) = 190274427

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Least Common Multiple of 41373 and 41391 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41373 and 41391, than apply into the LCM equation.

GCF(41373,41391) = 9
LCM(41373,41391) = ( 41373 × 41391) / 9
LCM(41373,41391) = 1712469843 / 9
LCM(41373,41391) = 190274427

Least Common Multiple (LCM) of 41373 and 41391 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41373 and 41391. First we will calculate the prime factors of 41373 and 41391.

Prime Factorization of 41373

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

41373 = 32 × 45971

Prime Factorization of 41391

Prime factors of 41391 are 3, 7, 73. Prime factorization of 41391 in exponential form is:

41391 = 34 × 71 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 41373 and 41391.

LCM(41373,41391) = 34 × 45971 × 71 × 731
LCM(41373,41391) = 190274427