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What is the Least Common Multiple of 68209 and 68228?

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 68209 and 68228 is 4653763652.

LCM(68209,68228) = 4653763652

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Least Common Multiple of 68209 and 68228 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68209 and 68228, than apply into the LCM equation.

GCF(68209,68228) = 1
LCM(68209,68228) = ( 68209 × 68228) / 1
LCM(68209,68228) = 4653763652 / 1
LCM(68209,68228) = 4653763652

Least Common Multiple (LCM) of 68209 and 68228 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68209 and 68228. First we will calculate the prime factors of 68209 and 68228.

Prime Factorization of 68209

Prime factors of 68209 are 68209. Prime factorization of 68209 in exponential form is:

68209 = 682091

Prime Factorization of 68228

Prime factors of 68228 are 2, 37, 461. Prime factorization of 68228 in exponential form is:

68228 = 22 × 371 × 4611

Now multiplying the highest exponent prime factors to calculate the LCM of 68209 and 68228.

LCM(68209,68228) = 682091 × 22 × 371 × 4611
LCM(68209,68228) = 4653763652