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What is the Least Common Multiple of 28126 and 28135?

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 28126 and 28135 is 791325010.

LCM(28126,28135) = 791325010

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Least Common Multiple of 28126 and 28135 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28126 and 28135, than apply into the LCM equation.

GCF(28126,28135) = 1
LCM(28126,28135) = ( 28126 × 28135) / 1
LCM(28126,28135) = 791325010 / 1
LCM(28126,28135) = 791325010

Least Common Multiple (LCM) of 28126 and 28135 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28126 and 28135. First we will calculate the prime factors of 28126 and 28135.

Prime Factorization of 28126

Prime factors of 28126 are 2, 7, 41. Prime factorization of 28126 in exponential form is:

28126 = 21 × 73 × 411

Prime Factorization of 28135

Prime factors of 28135 are 5, 17, 331. Prime factorization of 28135 in exponential form is:

28135 = 51 × 171 × 3311

Now multiplying the highest exponent prime factors to calculate the LCM of 28126 and 28135.

LCM(28126,28135) = 21 × 73 × 411 × 51 × 171 × 3311
LCM(28126,28135) = 791325010