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What is the Least Common Multiple of 64221 and 64233?

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 64221 and 64233 is 1375035831.

LCM(64221,64233) = 1375035831

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Least Common Multiple of 64221 and 64233 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64221 and 64233, than apply into the LCM equation.

GCF(64221,64233) = 3
LCM(64221,64233) = ( 64221 × 64233) / 3
LCM(64221,64233) = 4125107493 / 3
LCM(64221,64233) = 1375035831

Least Common Multiple (LCM) of 64221 and 64233 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64221 and 64233. First we will calculate the prime factors of 64221 and 64233.

Prime Factorization of 64221

Prime factors of 64221 are 3, 21407. Prime factorization of 64221 in exponential form is:

64221 = 31 × 214071

Prime Factorization of 64233

Prime factors of 64233 are 3, 13, 61. Prime factorization of 64233 in exponential form is:

64233 = 34 × 131 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 64221 and 64233.

LCM(64221,64233) = 34 × 214071 × 131 × 611
LCM(64221,64233) = 1375035831