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What is the Least Common Multiple of 28028 and 28036?

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 28028 and 28036 is 196448252.

LCM(28028,28036) = 196448252

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Least Common Multiple of 28028 and 28036 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28028 and 28036, than apply into the LCM equation.

GCF(28028,28036) = 4
LCM(28028,28036) = ( 28028 × 28036) / 4
LCM(28028,28036) = 785793008 / 4
LCM(28028,28036) = 196448252

Least Common Multiple (LCM) of 28028 and 28036 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28028 and 28036. First we will calculate the prime factors of 28028 and 28036.

Prime Factorization of 28028

Prime factors of 28028 are 2, 7, 11, 13. Prime factorization of 28028 in exponential form is:

28028 = 22 × 72 × 111 × 131

Prime Factorization of 28036

Prime factors of 28036 are 2, 43, 163. Prime factorization of 28036 in exponential form is:

28036 = 22 × 431 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 28028 and 28036.

LCM(28028,28036) = 22 × 72 × 111 × 131 × 431 × 1631
LCM(28028,28036) = 196448252