What is the Least Common Multiple of 21064 and 21084?
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 21064 and 21084 is 111028344.
LCM(21064,21084) = 111028344
Least Common Multiple of 21064 and 21084 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21064 and 21084, than apply into the LCM equation.
GCF(21064,21084) = 4
LCM(21064,21084) = ( 21064 × 21084) / 4
LCM(21064,21084) = 444113376 / 4
LCM(21064,21084) = 111028344
Least Common Multiple (LCM) of 21064 and 21084 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 21064 and 21084. First we will calculate the prime factors of 21064 and 21084.
Prime Factorization of 21064
Prime factors of 21064 are 2, 2633. Prime factorization of 21064 in exponential form is:
21064 = 23 × 26331
Prime Factorization of 21084
Prime factors of 21084 are 2, 3, 7, 251. Prime factorization of 21084 in exponential form is:
21084 = 22 × 31 × 71 × 2511
Now multiplying the highest exponent prime factors to calculate the LCM of 21064 and 21084.
LCM(21064,21084) = 23 × 26331 × 31 × 71 × 2511
LCM(21064,21084) = 111028344
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