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What is the Least Common Multiple of 28630 and 28644?

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 28630 and 28644 is 58576980.

LCM(28630,28644) = 58576980

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Least Common Multiple of 28630 and 28644 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28630 and 28644, than apply into the LCM equation.

GCF(28630,28644) = 14
LCM(28630,28644) = ( 28630 × 28644) / 14
LCM(28630,28644) = 820077720 / 14
LCM(28630,28644) = 58576980

Least Common Multiple (LCM) of 28630 and 28644 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28630 and 28644. First we will calculate the prime factors of 28630 and 28644.

Prime Factorization of 28630

Prime factors of 28630 are 2, 5, 7, 409. Prime factorization of 28630 in exponential form is:

28630 = 21 × 51 × 71 × 4091

Prime Factorization of 28644

Prime factors of 28644 are 2, 3, 7, 11, 31. Prime factorization of 28644 in exponential form is:

28644 = 22 × 31 × 71 × 111 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 28630 and 28644.

LCM(28630,28644) = 22 × 51 × 71 × 4091 × 31 × 111 × 311
LCM(28630,28644) = 58576980