What is the Least Common Multiple of 64393 and 64411?
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 64393 and 64411 is 4147617523.
LCM(64393,64411) = 4147617523
Least Common Multiple of 64393 and 64411 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64393 and 64411, than apply into the LCM equation.
GCF(64393,64411) = 1
LCM(64393,64411) = ( 64393 × 64411) / 1
LCM(64393,64411) = 4147617523 / 1
LCM(64393,64411) = 4147617523
Least Common Multiple (LCM) of 64393 and 64411 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64393 and 64411. First we will calculate the prime factors of 64393 and 64411.
Prime Factorization of 64393
Prime factors of 64393 are 7, 9199. Prime factorization of 64393 in exponential form is:
64393 = 71 × 91991
Prime Factorization of 64411
Prime factors of 64411 are 41, 1571. Prime factorization of 64411 in exponential form is:
64411 = 411 × 15711
Now multiplying the highest exponent prime factors to calculate the LCM of 64393 and 64411.
LCM(64393,64411) = 71 × 91991 × 411 × 15711
LCM(64393,64411) = 4147617523
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