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What is the Least Common Multiple of 28274 and 28284?

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 28284 is 399850908.

LCM(28274,28284) = 399850908

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Least Common Multiple of 28274 and 28284 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 28284, than apply into the LCM equation.

GCF(28274,28284) = 2
LCM(28274,28284) = ( 28274 × 28284) / 2
LCM(28274,28284) = 799701816 / 2
LCM(28274,28284) = 399850908

Least Common Multiple (LCM) of 28274 and 28284 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28274 and 28284. First we will calculate the prime factors of 28274 and 28284.

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 28284

Prime factors of 28284 are 2, 3, 2357. Prime factorization of 28284 in exponential form is:

28284 = 22 × 31 × 23571

Now multiplying the highest exponent prime factors to calculate the LCM of 28274 and 28284.

LCM(28274,28284) = 22 × 671 × 2111 × 31 × 23571
LCM(28274,28284) = 399850908