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What is the Least Common Multiple of 68226 and 68245?

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 68226 and 68245 is 4656083370.

LCM(68226,68245) = 4656083370

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Least Common Multiple of 68226 and 68245 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68226 and 68245, than apply into the LCM equation.

GCF(68226,68245) = 1
LCM(68226,68245) = ( 68226 × 68245) / 1
LCM(68226,68245) = 4656083370 / 1
LCM(68226,68245) = 4656083370

Least Common Multiple (LCM) of 68226 and 68245 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68226 and 68245. First we will calculate the prime factors of 68226 and 68245.

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

Prime Factorization of 68245

Prime factors of 68245 are 5, 13649. Prime factorization of 68245 in exponential form is:

68245 = 51 × 136491

Now multiplying the highest exponent prime factors to calculate the LCM of 68226 and 68245.

LCM(68226,68245) = 21 × 31 × 831 × 1371 × 51 × 136491
LCM(68226,68245) = 4656083370