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What is the Least Common Multiple of 64533 and 64542?

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 64533 and 64542 is 1388362962.

LCM(64533,64542) = 1388362962

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Least Common Multiple of 64533 and 64542 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64533 and 64542, than apply into the LCM equation.

GCF(64533,64542) = 3
LCM(64533,64542) = ( 64533 × 64542) / 3
LCM(64533,64542) = 4165088886 / 3
LCM(64533,64542) = 1388362962

Least Common Multiple (LCM) of 64533 and 64542 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64533 and 64542. First we will calculate the prime factors of 64533 and 64542.

Prime Factorization of 64533

Prime factors of 64533 are 3, 7, 439. Prime factorization of 64533 in exponential form is:

64533 = 31 × 72 × 4391

Prime Factorization of 64542

Prime factors of 64542 are 2, 3, 31, 347. Prime factorization of 64542 in exponential form is:

64542 = 21 × 31 × 311 × 3471

Now multiplying the highest exponent prime factors to calculate the LCM of 64533 and 64542.

LCM(64533,64542) = 31 × 72 × 4391 × 21 × 311 × 3471
LCM(64533,64542) = 1388362962