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What is the Least Common Multiple of 65474 and 65492?

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 65474 and 65492 is 2144011604.

LCM(65474,65492) = 2144011604

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Least Common Multiple of 65474 and 65492 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65474 and 65492, than apply into the LCM equation.

GCF(65474,65492) = 2
LCM(65474,65492) = ( 65474 × 65492) / 2
LCM(65474,65492) = 4288023208 / 2
LCM(65474,65492) = 2144011604

Least Common Multiple (LCM) of 65474 and 65492 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65474 and 65492. First we will calculate the prime factors of 65474 and 65492.

Prime Factorization of 65474

Prime factors of 65474 are 2, 19, 1723. Prime factorization of 65474 in exponential form is:

65474 = 21 × 191 × 17231

Prime Factorization of 65492

Prime factors of 65492 are 2, 7, 2339. Prime factorization of 65492 in exponential form is:

65492 = 22 × 71 × 23391

Now multiplying the highest exponent prime factors to calculate the LCM of 65474 and 65492.

LCM(65474,65492) = 22 × 191 × 17231 × 71 × 23391
LCM(65474,65492) = 2144011604