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What is the Least Common Multiple of 28196 and 28210?

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 28196 and 28210 is 56814940.

LCM(28196,28210) = 56814940

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Least Common Multiple of 28196 and 28210 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28196 and 28210, than apply into the LCM equation.

GCF(28196,28210) = 14
LCM(28196,28210) = ( 28196 × 28210) / 14
LCM(28196,28210) = 795409160 / 14
LCM(28196,28210) = 56814940

Least Common Multiple (LCM) of 28196 and 28210 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28196 and 28210. First we will calculate the prime factors of 28196 and 28210.

Prime Factorization of 28196

Prime factors of 28196 are 2, 7, 19, 53. Prime factorization of 28196 in exponential form is:

28196 = 22 × 71 × 191 × 531

Prime Factorization of 28210

Prime factors of 28210 are 2, 5, 7, 13, 31. Prime factorization of 28210 in exponential form is:

28210 = 21 × 51 × 71 × 131 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 28196 and 28210.

LCM(28196,28210) = 22 × 71 × 191 × 531 × 51 × 131 × 311
LCM(28196,28210) = 56814940