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What is the Least Common Multiple of 38639 and 38644?

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 38639 and 38644 is 1493165516.

LCM(38639,38644) = 1493165516

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Least Common Multiple of 38639 and 38644 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38639 and 38644, than apply into the LCM equation.

GCF(38639,38644) = 1
LCM(38639,38644) = ( 38639 × 38644) / 1
LCM(38639,38644) = 1493165516 / 1
LCM(38639,38644) = 1493165516

Least Common Multiple (LCM) of 38639 and 38644 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38639 and 38644. First we will calculate the prime factors of 38639 and 38644.

Prime Factorization of 38639

Prime factors of 38639 are 38639. Prime factorization of 38639 in exponential form is:

38639 = 386391

Prime Factorization of 38644

Prime factors of 38644 are 2, 9661. Prime factorization of 38644 in exponential form is:

38644 = 22 × 96611

Now multiplying the highest exponent prime factors to calculate the LCM of 38639 and 38644.

LCM(38639,38644) = 386391 × 22 × 96611
LCM(38639,38644) = 1493165516