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What is the Least Common Multiple of 64233 and 64248?

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 64233 and 64248 is 1375613928.

LCM(64233,64248) = 1375613928

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Least Common Multiple of 64233 and 64248 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64233 and 64248, than apply into the LCM equation.

GCF(64233,64248) = 3
LCM(64233,64248) = ( 64233 × 64248) / 3
LCM(64233,64248) = 4126841784 / 3
LCM(64233,64248) = 1375613928

Least Common Multiple (LCM) of 64233 and 64248 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64233 and 64248. First we will calculate the prime factors of 64233 and 64248.

Prime Factorization of 64233

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

64233 = 34 × 131 × 611

Prime Factorization of 64248

Prime factors of 64248 are 2, 3, 2677. Prime factorization of 64248 in exponential form is:

64248 = 23 × 31 × 26771

Now multiplying the highest exponent prime factors to calculate the LCM of 64233 and 64248.

LCM(64233,64248) = 34 × 131 × 611 × 23 × 26771
LCM(64233,64248) = 1375613928