What is the Least Common Multiple of 14064 and 14069?
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 14064 and 14069 is 197866416.
LCM(14064,14069) = 197866416
Least Common Multiple of 14064 and 14069 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14064 and 14069, than apply into the LCM equation.
GCF(14064,14069) = 1
LCM(14064,14069) = ( 14064 × 14069) / 1
LCM(14064,14069) = 197866416 / 1
LCM(14064,14069) = 197866416
Least Common Multiple (LCM) of 14064 and 14069 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 14064 and 14069. First we will calculate the prime factors of 14064 and 14069.
Prime Factorization of 14064
Prime factors of 14064 are 2, 3, 293. Prime factorization of 14064 in exponential form is:
14064 = 24 × 31 × 2931
Prime Factorization of 14069
Prime factors of 14069 are 11, 1279. Prime factorization of 14069 in exponential form is:
14069 = 111 × 12791
Now multiplying the highest exponent prime factors to calculate the LCM of 14064 and 14069.
LCM(14064,14069) = 24 × 31 × 2931 × 111 × 12791
LCM(14064,14069) = 197866416
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