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What is the Least Common Multiple of 64533 and 64540?

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 64540 is 594994260.

LCM(64533,64540) = 594994260

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Least Common Multiple of 64533 and 64540 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 64540, than apply into the LCM equation.

GCF(64533,64540) = 7
LCM(64533,64540) = ( 64533 × 64540) / 7
LCM(64533,64540) = 4164959820 / 7
LCM(64533,64540) = 594994260

Least Common Multiple (LCM) of 64533 and 64540 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64533 and 64540. First we will calculate the prime factors of 64533 and 64540.

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 64540

Prime factors of 64540 are 2, 5, 7, 461. Prime factorization of 64540 in exponential form is:

64540 = 22 × 51 × 71 × 4611

Now multiplying the highest exponent prime factors to calculate the LCM of 64533 and 64540.

LCM(64533,64540) = 31 × 72 × 4391 × 22 × 51 × 4611
LCM(64533,64540) = 594994260