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What is the Least Common Multiple of 28640 and 28651?

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 28640 and 28651 is 820564640.

LCM(28640,28651) = 820564640

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Least Common Multiple of 28640 and 28651 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28640 and 28651, than apply into the LCM equation.

GCF(28640,28651) = 1
LCM(28640,28651) = ( 28640 × 28651) / 1
LCM(28640,28651) = 820564640 / 1
LCM(28640,28651) = 820564640

Least Common Multiple (LCM) of 28640 and 28651 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28640 and 28651. First we will calculate the prime factors of 28640 and 28651.

Prime Factorization of 28640

Prime factors of 28640 are 2, 5, 179. Prime factorization of 28640 in exponential form is:

28640 = 25 × 51 × 1791

Prime Factorization of 28651

Prime factors of 28651 are 7, 4093. Prime factorization of 28651 in exponential form is:

28651 = 71 × 40931

Now multiplying the highest exponent prime factors to calculate the LCM of 28640 and 28651.

LCM(28640,28651) = 25 × 51 × 1791 × 71 × 40931
LCM(28640,28651) = 820564640