What is the Least Common Multiple of 64383 and 64388?
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 64383 and 64388 is 4145492604.
LCM(64383,64388) = 4145492604
Least Common Multiple of 64383 and 64388 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64383 and 64388, than apply into the LCM equation.
GCF(64383,64388) = 1
LCM(64383,64388) = ( 64383 × 64388) / 1
LCM(64383,64388) = 4145492604 / 1
LCM(64383,64388) = 4145492604
Least Common Multiple (LCM) of 64383 and 64388 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64383 and 64388. First we will calculate the prime factors of 64383 and 64388.
Prime Factorization of 64383
Prime factors of 64383 are 3, 11, 1951. Prime factorization of 64383 in exponential form is:
64383 = 31 × 111 × 19511
Prime Factorization of 64388
Prime factors of 64388 are 2, 16097. Prime factorization of 64388 in exponential form is:
64388 = 22 × 160971
Now multiplying the highest exponent prime factors to calculate the LCM of 64383 and 64388.
LCM(64383,64388) = 31 × 111 × 19511 × 22 × 160971
LCM(64383,64388) = 4145492604
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