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What is the Least Common Multiple of 68225 and 68241?

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 68225 and 68241 is 4655742225.

LCM(68225,68241) = 4655742225

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Least Common Multiple of 68225 and 68241 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68225 and 68241, than apply into the LCM equation.

GCF(68225,68241) = 1
LCM(68225,68241) = ( 68225 × 68241) / 1
LCM(68225,68241) = 4655742225 / 1
LCM(68225,68241) = 4655742225

Least Common Multiple (LCM) of 68225 and 68241 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68225 and 68241. First we will calculate the prime factors of 68225 and 68241.

Prime Factorization of 68225

Prime factors of 68225 are 5, 2729. Prime factorization of 68225 in exponential form is:

68225 = 52 × 27291

Prime Factorization of 68241

Prime factors of 68241 are 3, 23, 43. Prime factorization of 68241 in exponential form is:

68241 = 31 × 232 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 68225 and 68241.

LCM(68225,68241) = 52 × 27291 × 31 × 232 × 431
LCM(68225,68241) = 4655742225