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What is the Least Common Multiple of 28055 and 28074?

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 28055 and 28074 is 787616070.

LCM(28055,28074) = 787616070

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Least Common Multiple of 28055 and 28074 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28055 and 28074, than apply into the LCM equation.

GCF(28055,28074) = 1
LCM(28055,28074) = ( 28055 × 28074) / 1
LCM(28055,28074) = 787616070 / 1
LCM(28055,28074) = 787616070

Least Common Multiple (LCM) of 28055 and 28074 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28055 and 28074. First we will calculate the prime factors of 28055 and 28074.

Prime Factorization of 28055

Prime factors of 28055 are 5, 31, 181. Prime factorization of 28055 in exponential form is:

28055 = 51 × 311 × 1811

Prime Factorization of 28074

Prime factors of 28074 are 2, 3, 4679. Prime factorization of 28074 in exponential form is:

28074 = 21 × 31 × 46791

Now multiplying the highest exponent prime factors to calculate the LCM of 28055 and 28074.

LCM(28055,28074) = 51 × 311 × 1811 × 21 × 31 × 46791
LCM(28055,28074) = 787616070