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What is the Least Common Multiple of 28208 and 28222?

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 28208 and 28222 is 398043088.

LCM(28208,28222) = 398043088

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Least Common Multiple of 28208 and 28222 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28208 and 28222, than apply into the LCM equation.

GCF(28208,28222) = 2
LCM(28208,28222) = ( 28208 × 28222) / 2
LCM(28208,28222) = 796086176 / 2
LCM(28208,28222) = 398043088

Least Common Multiple (LCM) of 28208 and 28222 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28208 and 28222. First we will calculate the prime factors of 28208 and 28222.

Prime Factorization of 28208

Prime factors of 28208 are 2, 41, 43. Prime factorization of 28208 in exponential form is:

28208 = 24 × 411 × 431

Prime Factorization of 28222

Prime factors of 28222 are 2, 103, 137. Prime factorization of 28222 in exponential form is:

28222 = 21 × 1031 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 28208 and 28222.

LCM(28208,28222) = 24 × 411 × 431 × 1031 × 1371
LCM(28208,28222) = 398043088