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What is the Least Common Multiple of 28078 and 28098?

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 28078 and 28098 is 394467822.

LCM(28078,28098) = 394467822

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Least Common Multiple of 28078 and 28098 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28078 and 28098, than apply into the LCM equation.

GCF(28078,28098) = 2
LCM(28078,28098) = ( 28078 × 28098) / 2
LCM(28078,28098) = 788935644 / 2
LCM(28078,28098) = 394467822

Least Common Multiple (LCM) of 28078 and 28098 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28078 and 28098. First we will calculate the prime factors of 28078 and 28098.

Prime Factorization of 28078

Prime factors of 28078 are 2, 101, 139. Prime factorization of 28078 in exponential form is:

28078 = 21 × 1011 × 1391

Prime Factorization of 28098

Prime factors of 28098 are 2, 3, 7, 223. Prime factorization of 28098 in exponential form is:

28098 = 21 × 32 × 71 × 2231

Now multiplying the highest exponent prime factors to calculate the LCM of 28078 and 28098.

LCM(28078,28098) = 21 × 1011 × 1391 × 32 × 71 × 2231
LCM(28078,28098) = 394467822