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What is the Least Common Multiple of 28040 and 28056?

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 28040 and 28056 is 98336280.

LCM(28040,28056) = 98336280

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Least Common Multiple of 28040 and 28056 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28040 and 28056, than apply into the LCM equation.

GCF(28040,28056) = 8
LCM(28040,28056) = ( 28040 × 28056) / 8
LCM(28040,28056) = 786690240 / 8
LCM(28040,28056) = 98336280

Least Common Multiple (LCM) of 28040 and 28056 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28040 and 28056. First we will calculate the prime factors of 28040 and 28056.

Prime Factorization of 28040

Prime factors of 28040 are 2, 5, 701. Prime factorization of 28040 in exponential form is:

28040 = 23 × 51 × 7011

Prime Factorization of 28056

Prime factors of 28056 are 2, 3, 7, 167. Prime factorization of 28056 in exponential form is:

28056 = 23 × 31 × 71 × 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 28040 and 28056.

LCM(28040,28056) = 23 × 51 × 7011 × 31 × 71 × 1671
LCM(28040,28056) = 98336280