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What is the Least Common Multiple of 28270 and 28275?

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 28270 and 28275 is 159866850.

LCM(28270,28275) = 159866850

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Least Common Multiple of 28270 and 28275 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28270 and 28275, than apply into the LCM equation.

GCF(28270,28275) = 5
LCM(28270,28275) = ( 28270 × 28275) / 5
LCM(28270,28275) = 799334250 / 5
LCM(28270,28275) = 159866850

Least Common Multiple (LCM) of 28270 and 28275 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28270 and 28275. First we will calculate the prime factors of 28270 and 28275.

Prime Factorization of 28270

Prime factors of 28270 are 2, 5, 11, 257. Prime factorization of 28270 in exponential form is:

28270 = 21 × 51 × 111 × 2571

Prime Factorization of 28275

Prime factors of 28275 are 3, 5, 13, 29. Prime factorization of 28275 in exponential form is:

28275 = 31 × 52 × 131 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 28270 and 28275.

LCM(28270,28275) = 21 × 52 × 111 × 2571 × 31 × 131 × 291
LCM(28270,28275) = 159866850