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What is the Least Common Multiple of 49367 and 49373?

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 49367 and 49373 is 2437396891.

LCM(49367,49373) = 2437396891

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Least Common Multiple of 49367 and 49373 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49367 and 49373, than apply into the LCM equation.

GCF(49367,49373) = 1
LCM(49367,49373) = ( 49367 × 49373) / 1
LCM(49367,49373) = 2437396891 / 1
LCM(49367,49373) = 2437396891

Least Common Multiple (LCM) of 49367 and 49373 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49367 and 49373. First we will calculate the prime factors of 49367 and 49373.

Prime Factorization of 49367

Prime factors of 49367 are 49367. Prime factorization of 49367 in exponential form is:

49367 = 493671

Prime Factorization of 49373

Prime factors of 49373 are 97, 509. Prime factorization of 49373 in exponential form is:

49373 = 971 × 5091

Now multiplying the highest exponent prime factors to calculate the LCM of 49367 and 49373.

LCM(49367,49373) = 493671 × 971 × 5091
LCM(49367,49373) = 2437396891