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What is the Least Common Multiple of 73482 and 73487?

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 73482 and 73487 is 5399971734.

LCM(73482,73487) = 5399971734

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Least Common Multiple of 73482 and 73487 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73482 and 73487, than apply into the LCM equation.

GCF(73482,73487) = 1
LCM(73482,73487) = ( 73482 × 73487) / 1
LCM(73482,73487) = 5399971734 / 1
LCM(73482,73487) = 5399971734

Least Common Multiple (LCM) of 73482 and 73487 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73482 and 73487. First we will calculate the prime factors of 73482 and 73487.

Prime Factorization of 73482

Prime factors of 73482 are 2, 3, 37, 331. Prime factorization of 73482 in exponential form is:

73482 = 21 × 31 × 371 × 3311

Prime Factorization of 73487

Prime factors of 73487 are 43, 1709. Prime factorization of 73487 in exponential form is:

73487 = 431 × 17091

Now multiplying the highest exponent prime factors to calculate the LCM of 73482 and 73487.

LCM(73482,73487) = 21 × 31 × 371 × 3311 × 431 × 17091
LCM(73482,73487) = 5399971734