What is the Least Common Multiple of 64335 and 64352?
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 64335 and 64352 is 4140085920.
LCM(64335,64352) = 4140085920
Least Common Multiple of 64335 and 64352 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64335 and 64352, than apply into the LCM equation.
GCF(64335,64352) = 1
LCM(64335,64352) = ( 64335 × 64352) / 1
LCM(64335,64352) = 4140085920 / 1
LCM(64335,64352) = 4140085920
Least Common Multiple (LCM) of 64335 and 64352 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64335 and 64352. First we will calculate the prime factors of 64335 and 64352.
Prime Factorization of 64335
Prime factors of 64335 are 3, 5, 4289. Prime factorization of 64335 in exponential form is:
64335 = 31 × 51 × 42891
Prime Factorization of 64352
Prime factors of 64352 are 2, 2011. Prime factorization of 64352 in exponential form is:
64352 = 25 × 20111
Now multiplying the highest exponent prime factors to calculate the LCM of 64335 and 64352.
LCM(64335,64352) = 31 × 51 × 42891 × 25 × 20111
LCM(64335,64352) = 4140085920
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