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What is the Least Common Multiple of 68370 and 68384?

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 68370 and 68384 is 2337707040.

LCM(68370,68384) = 2337707040

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Least Common Multiple of 68370 and 68384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68370 and 68384, than apply into the LCM equation.

GCF(68370,68384) = 2
LCM(68370,68384) = ( 68370 × 68384) / 2
LCM(68370,68384) = 4675414080 / 2
LCM(68370,68384) = 2337707040

Least Common Multiple (LCM) of 68370 and 68384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68370 and 68384. First we will calculate the prime factors of 68370 and 68384.

Prime Factorization of 68370

Prime factors of 68370 are 2, 3, 5, 43, 53. Prime factorization of 68370 in exponential form is:

68370 = 21 × 31 × 51 × 431 × 531

Prime Factorization of 68384

Prime factors of 68384 are 2, 2137. Prime factorization of 68384 in exponential form is:

68384 = 25 × 21371

Now multiplying the highest exponent prime factors to calculate the LCM of 68370 and 68384.

LCM(68370,68384) = 25 × 31 × 51 × 431 × 531 × 21371
LCM(68370,68384) = 2337707040