What is the Least Common Multiple of 64335 and 64348?
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 64348 is 4139828580.
LCM(64335,64348) = 4139828580
Least Common Multiple of 64335 and 64348 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 64348, than apply into the LCM equation.
GCF(64335,64348) = 1
LCM(64335,64348) = ( 64335 × 64348) / 1
LCM(64335,64348) = 4139828580 / 1
LCM(64335,64348) = 4139828580
Least Common Multiple (LCM) of 64335 and 64348 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64335 and 64348. First we will calculate the prime factors of 64335 and 64348.
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 64348
Prime factors of 64348 are 2, 16087. Prime factorization of 64348 in exponential form is:
64348 = 22 × 160871
Now multiplying the highest exponent prime factors to calculate the LCM of 64335 and 64348.
LCM(64335,64348) = 31 × 51 × 42891 × 22 × 160871
LCM(64335,64348) = 4139828580
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