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What is the Least Common Multiple of 4120 and 4128?

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 4120 and 4128 is 2125920.

LCM(4120,4128) = 2125920

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Least Common Multiple of 4120 and 4128 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4120 and 4128, than apply into the LCM equation.

GCF(4120,4128) = 8
LCM(4120,4128) = ( 4120 × 4128) / 8
LCM(4120,4128) = 17007360 / 8
LCM(4120,4128) = 2125920

Least Common Multiple (LCM) of 4120 and 4128 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4120 and 4128. First we will calculate the prime factors of 4120 and 4128.

Prime Factorization of 4120

Prime factors of 4120 are 2, 5, 103. Prime factorization of 4120 in exponential form is:

4120 = 23 × 51 × 1031

Prime Factorization of 4128

Prime factors of 4128 are 2, 3, 43. Prime factorization of 4128 in exponential form is:

4128 = 25 × 31 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 4120 and 4128.

LCM(4120,4128) = 25 × 51 × 1031 × 31 × 431
LCM(4120,4128) = 2125920