What is the Least Common Multiple of 64392 and 64409?
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 64392 and 64409 is 4147424328.
LCM(64392,64409) = 4147424328
Least Common Multiple of 64392 and 64409 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64392 and 64409, than apply into the LCM equation.
GCF(64392,64409) = 1
LCM(64392,64409) = ( 64392 × 64409) / 1
LCM(64392,64409) = 4147424328 / 1
LCM(64392,64409) = 4147424328
Least Common Multiple (LCM) of 64392 and 64409 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64392 and 64409. First we will calculate the prime factors of 64392 and 64409.
Prime Factorization of 64392
Prime factors of 64392 are 2, 3, 2683. Prime factorization of 64392 in exponential form is:
64392 = 23 × 31 × 26831
Prime Factorization of 64409
Prime factors of 64409 are 29, 2221. Prime factorization of 64409 in exponential form is:
64409 = 291 × 22211
Now multiplying the highest exponent prime factors to calculate the LCM of 64392 and 64409.
LCM(64392,64409) = 23 × 31 × 26831 × 291 × 22211
LCM(64392,64409) = 4147424328
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