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What is the Least Common Multiple of 28656 and 28670?

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 28656 and 28670 is 410783760.

LCM(28656,28670) = 410783760

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Least Common Multiple of 28656 and 28670 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28656 and 28670, than apply into the LCM equation.

GCF(28656,28670) = 2
LCM(28656,28670) = ( 28656 × 28670) / 2
LCM(28656,28670) = 821567520 / 2
LCM(28656,28670) = 410783760

Least Common Multiple (LCM) of 28656 and 28670 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28656 and 28670. First we will calculate the prime factors of 28656 and 28670.

Prime Factorization of 28656

Prime factors of 28656 are 2, 3, 199. Prime factorization of 28656 in exponential form is:

28656 = 24 × 32 × 1991

Prime Factorization of 28670

Prime factors of 28670 are 2, 5, 47, 61. Prime factorization of 28670 in exponential form is:

28670 = 21 × 51 × 471 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 28656 and 28670.

LCM(28656,28670) = 24 × 32 × 1991 × 51 × 471 × 611
LCM(28656,28670) = 410783760