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What is the Least Common Multiple of 3128 and 3140?

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 3128 and 3140 is 2455480.

LCM(3128,3140) = 2455480

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Least Common Multiple of 3128 and 3140 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3128 and 3140, than apply into the LCM equation.

GCF(3128,3140) = 4
LCM(3128,3140) = ( 3128 × 3140) / 4
LCM(3128,3140) = 9821920 / 4
LCM(3128,3140) = 2455480

Least Common Multiple (LCM) of 3128 and 3140 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3128 and 3140. First we will calculate the prime factors of 3128 and 3140.

Prime Factorization of 3128

Prime factors of 3128 are 2, 17, 23. Prime factorization of 3128 in exponential form is:

3128 = 23 × 171 × 231

Prime Factorization of 3140

Prime factors of 3140 are 2, 5, 157. Prime factorization of 3140 in exponential form is:

3140 = 22 × 51 × 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 3128 and 3140.

LCM(3128,3140) = 23 × 171 × 231 × 51 × 1571
LCM(3128,3140) = 2455480