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What is the Least Common Multiple of 49378 and 49391?

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 49378 and 49391 is 2438828798.

LCM(49378,49391) = 2438828798

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Least Common Multiple of 49378 and 49391 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49378 and 49391, than apply into the LCM equation.

GCF(49378,49391) = 1
LCM(49378,49391) = ( 49378 × 49391) / 1
LCM(49378,49391) = 2438828798 / 1
LCM(49378,49391) = 2438828798

Least Common Multiple (LCM) of 49378 and 49391 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49378 and 49391. First we will calculate the prime factors of 49378 and 49391.

Prime Factorization of 49378

Prime factors of 49378 are 2, 7, 3527. Prime factorization of 49378 in exponential form is:

49378 = 21 × 71 × 35271

Prime Factorization of 49391

Prime factors of 49391 are 49391. Prime factorization of 49391 in exponential form is:

49391 = 493911

Now multiplying the highest exponent prime factors to calculate the LCM of 49378 and 49391.

LCM(49378,49391) = 21 × 71 × 35271 × 493911
LCM(49378,49391) = 2438828798