What is the Least Common Multiple of 64349 and 64364?
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 64349 and 64364 is 4141759036.
LCM(64349,64364) = 4141759036
Least Common Multiple of 64349 and 64364 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64349 and 64364, than apply into the LCM equation.
GCF(64349,64364) = 1
LCM(64349,64364) = ( 64349 × 64364) / 1
LCM(64349,64364) = 4141759036 / 1
LCM(64349,64364) = 4141759036
Least Common Multiple (LCM) of 64349 and 64364 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64349 and 64364. First we will calculate the prime factors of 64349 and 64364.
Prime Factorization of 64349
Prime factors of 64349 are 229, 281. Prime factorization of 64349 in exponential form is:
64349 = 2291 × 2811
Prime Factorization of 64364
Prime factors of 64364 are 2, 16091. Prime factorization of 64364 in exponential form is:
64364 = 22 × 160911
Now multiplying the highest exponent prime factors to calculate the LCM of 64349 and 64364.
LCM(64349,64364) = 2291 × 2811 × 22 × 160911
LCM(64349,64364) = 4141759036
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