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What is the Least Common Multiple of 28035 and 28055?

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 28035 and 28055 is 157304385.

LCM(28035,28055) = 157304385

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Least Common Multiple of 28035 and 28055 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28035 and 28055, than apply into the LCM equation.

GCF(28035,28055) = 5
LCM(28035,28055) = ( 28035 × 28055) / 5
LCM(28035,28055) = 786521925 / 5
LCM(28035,28055) = 157304385

Least Common Multiple (LCM) of 28035 and 28055 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28035 and 28055. First we will calculate the prime factors of 28035 and 28055.

Prime Factorization of 28035

Prime factors of 28035 are 3, 5, 7, 89. Prime factorization of 28035 in exponential form is:

28035 = 32 × 51 × 71 × 891

Prime Factorization of 28055

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

28055 = 51 × 311 × 1811

Now multiplying the highest exponent prime factors to calculate the LCM of 28035 and 28055.

LCM(28035,28055) = 32 × 51 × 71 × 891 × 311 × 1811
LCM(28035,28055) = 157304385