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What is the Least Common Multiple of 48012 and 48019?

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 48012 and 48019 is 2305488228.

LCM(48012,48019) = 2305488228

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Least Common Multiple of 48012 and 48019 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48012 and 48019, than apply into the LCM equation.

GCF(48012,48019) = 1
LCM(48012,48019) = ( 48012 × 48019) / 1
LCM(48012,48019) = 2305488228 / 1
LCM(48012,48019) = 2305488228

Least Common Multiple (LCM) of 48012 and 48019 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48012 and 48019. First we will calculate the prime factors of 48012 and 48019.

Prime Factorization of 48012

Prime factors of 48012 are 2, 3, 4001. Prime factorization of 48012 in exponential form is:

48012 = 22 × 31 × 40011

Prime Factorization of 48019

Prime factors of 48019 are 31, 1549. Prime factorization of 48019 in exponential form is:

48019 = 311 × 15491

Now multiplying the highest exponent prime factors to calculate the LCM of 48012 and 48019.

LCM(48012,48019) = 22 × 31 × 40011 × 311 × 15491
LCM(48012,48019) = 2305488228