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What is the Least Common Multiple of 64439 and 64452?

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 64439 and 64452 is 4153222428.

LCM(64439,64452) = 4153222428

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Least Common Multiple of 64439 and 64452 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64439 and 64452, than apply into the LCM equation.

GCF(64439,64452) = 1
LCM(64439,64452) = ( 64439 × 64452) / 1
LCM(64439,64452) = 4153222428 / 1
LCM(64439,64452) = 4153222428

Least Common Multiple (LCM) of 64439 and 64452 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64439 and 64452. First we will calculate the prime factors of 64439 and 64452.

Prime Factorization of 64439

Prime factors of 64439 are 64439. Prime factorization of 64439 in exponential form is:

64439 = 644391

Prime Factorization of 64452

Prime factors of 64452 are 2, 3, 41, 131. Prime factorization of 64452 in exponential form is:

64452 = 22 × 31 × 411 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 64439 and 64452.

LCM(64439,64452) = 644391 × 22 × 31 × 411 × 1311
LCM(64439,64452) = 4153222428