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What is the Least Common Multiple of 5220 and 5232?

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 5220 and 5232 is 2275920.

LCM(5220,5232) = 2275920

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Least Common Multiple of 5220 and 5232 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5220 and 5232, than apply into the LCM equation.

GCF(5220,5232) = 12
LCM(5220,5232) = ( 5220 × 5232) / 12
LCM(5220,5232) = 27311040 / 12
LCM(5220,5232) = 2275920

Least Common Multiple (LCM) of 5220 and 5232 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5220 and 5232. First we will calculate the prime factors of 5220 and 5232.

Prime Factorization of 5220

Prime factors of 5220 are 2, 3, 5, 29. Prime factorization of 5220 in exponential form is:

5220 = 22 × 32 × 51 × 291

Prime Factorization of 5232

Prime factors of 5232 are 2, 3, 109. Prime factorization of 5232 in exponential form is:

5232 = 24 × 31 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 5220 and 5232.

LCM(5220,5232) = 24 × 32 × 51 × 291 × 1091
LCM(5220,5232) = 2275920