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What is the Least Common Multiple of 48872 and 48881?

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 48872 and 48881 is 2388912232.

LCM(48872,48881) = 2388912232

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Least Common Multiple of 48872 and 48881 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48872 and 48881, than apply into the LCM equation.

GCF(48872,48881) = 1
LCM(48872,48881) = ( 48872 × 48881) / 1
LCM(48872,48881) = 2388912232 / 1
LCM(48872,48881) = 2388912232

Least Common Multiple (LCM) of 48872 and 48881 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48872 and 48881. First we will calculate the prime factors of 48872 and 48881.

Prime Factorization of 48872

Prime factors of 48872 are 2, 41, 149. Prime factorization of 48872 in exponential form is:

48872 = 23 × 411 × 1491

Prime Factorization of 48881

Prime factors of 48881 are 7, 6983. Prime factorization of 48881 in exponential form is:

48881 = 71 × 69831

Now multiplying the highest exponent prime factors to calculate the LCM of 48872 and 48881.

LCM(48872,48881) = 23 × 411 × 1491 × 71 × 69831
LCM(48872,48881) = 2388912232