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What is the Least Common Multiple of 48371 and 48383?

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 48371 and 48383 is 2340334093.

LCM(48371,48383) = 2340334093

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Least Common Multiple of 48371 and 48383 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48371 and 48383, than apply into the LCM equation.

GCF(48371,48383) = 1
LCM(48371,48383) = ( 48371 × 48383) / 1
LCM(48371,48383) = 2340334093 / 1
LCM(48371,48383) = 2340334093

Least Common Multiple (LCM) of 48371 and 48383 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48371 and 48383. First we will calculate the prime factors of 48371 and 48383.

Prime Factorization of 48371

Prime factors of 48371 are 48371. Prime factorization of 48371 in exponential form is:

48371 = 483711

Prime Factorization of 48383

Prime factors of 48383 are 48383. Prime factorization of 48383 in exponential form is:

48383 = 483831

Now multiplying the highest exponent prime factors to calculate the LCM of 48371 and 48383.

LCM(48371,48383) = 483711 × 483831
LCM(48371,48383) = 2340334093