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What is the Least Common Multiple of 68217 and 68226?

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 68217 and 68226 is 1551391014.

LCM(68217,68226) = 1551391014

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Least Common Multiple of 68217 and 68226 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68217 and 68226, than apply into the LCM equation.

GCF(68217,68226) = 3
LCM(68217,68226) = ( 68217 × 68226) / 3
LCM(68217,68226) = 4654173042 / 3
LCM(68217,68226) = 1551391014

Least Common Multiple (LCM) of 68217 and 68226 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68217 and 68226. First we will calculate the prime factors of 68217 and 68226.

Prime Factorization of 68217

Prime factors of 68217 are 3, 22739. Prime factorization of 68217 in exponential form is:

68217 = 31 × 227391

Prime Factorization of 68226

Prime factors of 68226 are 2, 3, 83, 137. Prime factorization of 68226 in exponential form is:

68226 = 21 × 31 × 831 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 68217 and 68226.

LCM(68217,68226) = 31 × 227391 × 21 × 831 × 1371
LCM(68217,68226) = 1551391014