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What is the Least Common Multiple of 28609 and 28626?

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 28609 and 28626 is 818961234.

LCM(28609,28626) = 818961234

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Least Common Multiple of 28609 and 28626 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28609 and 28626, than apply into the LCM equation.

GCF(28609,28626) = 1
LCM(28609,28626) = ( 28609 × 28626) / 1
LCM(28609,28626) = 818961234 / 1
LCM(28609,28626) = 818961234

Least Common Multiple (LCM) of 28609 and 28626 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28609 and 28626. First we will calculate the prime factors of 28609 and 28626.

Prime Factorization of 28609

Prime factors of 28609 are 7, 61, 67. Prime factorization of 28609 in exponential form is:

28609 = 71 × 611 × 671

Prime Factorization of 28626

Prime factors of 28626 are 2, 3, 13, 367. Prime factorization of 28626 in exponential form is:

28626 = 21 × 31 × 131 × 3671

Now multiplying the highest exponent prime factors to calculate the LCM of 28609 and 28626.

LCM(28609,28626) = 71 × 611 × 671 × 21 × 31 × 131 × 3671
LCM(28609,28626) = 818961234