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What is the Least Common Multiple of 28274 and 28282?

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 28274 and 28282 is 399822634.

LCM(28274,28282) = 399822634

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Least Common Multiple of 28274 and 28282 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28274 and 28282, than apply into the LCM equation.

GCF(28274,28282) = 2
LCM(28274,28282) = ( 28274 × 28282) / 2
LCM(28274,28282) = 799645268 / 2
LCM(28274,28282) = 399822634

Least Common Multiple (LCM) of 28274 and 28282 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28274 and 28282. First we will calculate the prime factors of 28274 and 28282.

Prime Factorization of 28274

Prime factors of 28274 are 2, 67, 211. Prime factorization of 28274 in exponential form is:

28274 = 21 × 671 × 2111

Prime Factorization of 28282

Prime factors of 28282 are 2, 79, 179. Prime factorization of 28282 in exponential form is:

28282 = 21 × 791 × 1791

Now multiplying the highest exponent prime factors to calculate the LCM of 28274 and 28282.

LCM(28274,28282) = 21 × 671 × 2111 × 791 × 1791
LCM(28274,28282) = 399822634