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What is the Least Common Multiple of 28075 and 28081?

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 28075 and 28081 is 788374075.

LCM(28075,28081) = 788374075

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Least Common Multiple of 28075 and 28081 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28075 and 28081, than apply into the LCM equation.

GCF(28075,28081) = 1
LCM(28075,28081) = ( 28075 × 28081) / 1
LCM(28075,28081) = 788374075 / 1
LCM(28075,28081) = 788374075

Least Common Multiple (LCM) of 28075 and 28081 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28075 and 28081. First we will calculate the prime factors of 28075 and 28081.

Prime Factorization of 28075

Prime factors of 28075 are 5, 1123. Prime factorization of 28075 in exponential form is:

28075 = 52 × 11231

Prime Factorization of 28081

Prime factors of 28081 are 28081. Prime factorization of 28081 in exponential form is:

28081 = 280811

Now multiplying the highest exponent prime factors to calculate the LCM of 28075 and 28081.

LCM(28075,28081) = 52 × 11231 × 280811
LCM(28075,28081) = 788374075