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What is the Least Common Multiple of 28302 and 28316?

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 28302 and 28316 is 400699716.

LCM(28302,28316) = 400699716

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Least Common Multiple of 28302 and 28316 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28302 and 28316, than apply into the LCM equation.

GCF(28302,28316) = 2
LCM(28302,28316) = ( 28302 × 28316) / 2
LCM(28302,28316) = 801399432 / 2
LCM(28302,28316) = 400699716

Least Common Multiple (LCM) of 28302 and 28316 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28302 and 28316. First we will calculate the prime factors of 28302 and 28316.

Prime Factorization of 28302

Prime factors of 28302 are 2, 3, 53, 89. Prime factorization of 28302 in exponential form is:

28302 = 21 × 31 × 531 × 891

Prime Factorization of 28316

Prime factors of 28316 are 2, 7079. Prime factorization of 28316 in exponential form is:

28316 = 22 × 70791

Now multiplying the highest exponent prime factors to calculate the LCM of 28302 and 28316.

LCM(28302,28316) = 22 × 31 × 531 × 891 × 70791
LCM(28302,28316) = 400699716