What is the Least Common Multiple of 64320 and 64333?
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 64320 and 64333 is 4137898560.
LCM(64320,64333) = 4137898560
Least Common Multiple of 64320 and 64333 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64320 and 64333, than apply into the LCM equation.
GCF(64320,64333) = 1
LCM(64320,64333) = ( 64320 × 64333) / 1
LCM(64320,64333) = 4137898560 / 1
LCM(64320,64333) = 4137898560
Least Common Multiple (LCM) of 64320 and 64333 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64320 and 64333. First we will calculate the prime factors of 64320 and 64333.
Prime Factorization of 64320
Prime factors of 64320 are 2, 3, 5, 67. Prime factorization of 64320 in exponential form is:
64320 = 26 × 31 × 51 × 671
Prime Factorization of 64333
Prime factors of 64333 are 64333. Prime factorization of 64333 in exponential form is:
64333 = 643331
Now multiplying the highest exponent prime factors to calculate the LCM of 64320 and 64333.
LCM(64320,64333) = 26 × 31 × 51 × 671 × 643331
LCM(64320,64333) = 4137898560
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