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What is the Least Common Multiple of 65703 and 65712?

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 65703 and 65712 is 1439158512.

LCM(65703,65712) = 1439158512

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Least Common Multiple of 65703 and 65712 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65703 and 65712, than apply into the LCM equation.

GCF(65703,65712) = 3
LCM(65703,65712) = ( 65703 × 65712) / 3
LCM(65703,65712) = 4317475536 / 3
LCM(65703,65712) = 1439158512

Least Common Multiple (LCM) of 65703 and 65712 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65703 and 65712. First we will calculate the prime factors of 65703 and 65712.

Prime Factorization of 65703

Prime factors of 65703 are 3, 11, 181. Prime factorization of 65703 in exponential form is:

65703 = 31 × 112 × 1811

Prime Factorization of 65712

Prime factors of 65712 are 2, 3, 37. Prime factorization of 65712 in exponential form is:

65712 = 24 × 31 × 372

Now multiplying the highest exponent prime factors to calculate the LCM of 65703 and 65712.

LCM(65703,65712) = 31 × 112 × 1811 × 24 × 372
LCM(65703,65712) = 1439158512