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What is the Least Common Multiple of 48115 and 48128?

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 48115 and 48128 is 2315678720.

LCM(48115,48128) = 2315678720

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Least Common Multiple of 48115 and 48128 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48115 and 48128, than apply into the LCM equation.

GCF(48115,48128) = 1
LCM(48115,48128) = ( 48115 × 48128) / 1
LCM(48115,48128) = 2315678720 / 1
LCM(48115,48128) = 2315678720

Least Common Multiple (LCM) of 48115 and 48128 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48115 and 48128. First we will calculate the prime factors of 48115 and 48128.

Prime Factorization of 48115

Prime factors of 48115 are 5, 9623. Prime factorization of 48115 in exponential form is:

48115 = 51 × 96231

Prime Factorization of 48128

Prime factors of 48128 are 2, 47. Prime factorization of 48128 in exponential form is:

48128 = 210 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 48115 and 48128.

LCM(48115,48128) = 51 × 96231 × 210 × 471
LCM(48115,48128) = 2315678720