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What is the Least Common Multiple of 68757 and 68770?

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 68757 and 68770 is 363724530.

LCM(68757,68770) = 363724530

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Least Common Multiple of 68757 and 68770 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68757 and 68770, than apply into the LCM equation.

GCF(68757,68770) = 13
LCM(68757,68770) = ( 68757 × 68770) / 13
LCM(68757,68770) = 4728418890 / 13
LCM(68757,68770) = 363724530

Least Common Multiple (LCM) of 68757 and 68770 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68757 and 68770. First we will calculate the prime factors of 68757 and 68770.

Prime Factorization of 68757

Prime factors of 68757 are 3, 13, 41, 43. Prime factorization of 68757 in exponential form is:

68757 = 31 × 131 × 411 × 431

Prime Factorization of 68770

Prime factors of 68770 are 2, 5, 13, 23. Prime factorization of 68770 in exponential form is:

68770 = 21 × 51 × 131 × 232

Now multiplying the highest exponent prime factors to calculate the LCM of 68757 and 68770.

LCM(68757,68770) = 31 × 131 × 411 × 431 × 21 × 51 × 232
LCM(68757,68770) = 363724530