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What is the Least Common Multiple of 68445 and 68457?

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 68445 and 68457 is 1561846455.

LCM(68445,68457) = 1561846455

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Least Common Multiple of 68445 and 68457 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68445 and 68457, than apply into the LCM equation.

GCF(68445,68457) = 3
LCM(68445,68457) = ( 68445 × 68457) / 3
LCM(68445,68457) = 4685539365 / 3
LCM(68445,68457) = 1561846455

Least Common Multiple (LCM) of 68445 and 68457 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68445 and 68457. First we will calculate the prime factors of 68445 and 68457.

Prime Factorization of 68445

Prime factors of 68445 are 3, 5, 13. Prime factorization of 68445 in exponential form is:

68445 = 34 × 51 × 132

Prime Factorization of 68457

Prime factors of 68457 are 3, 19, 1201. Prime factorization of 68457 in exponential form is:

68457 = 31 × 191 × 12011

Now multiplying the highest exponent prime factors to calculate the LCM of 68445 and 68457.

LCM(68445,68457) = 34 × 51 × 132 × 191 × 12011
LCM(68445,68457) = 1561846455