What is the Least Common Multiple of 14050 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 14050 and 14069 is 197669450.
LCM(14050,14069) = 197669450
Least Common Multiple of 14050 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 14050 and 14069, than apply into the LCM equation.
GCF(14050,14069) = 1
LCM(14050,14069) = ( 14050 × 14069) / 1
LCM(14050,14069) = 197669450 / 1
LCM(14050,14069) = 197669450
Least Common Multiple (LCM) of 14050 and 14069 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 14050 and 14069. First we will calculate the prime factors of 14050 and 14069.
Prime Factorization of 14050
Prime factors of 14050 are 2, 5, 281. Prime factorization of 14050 in exponential form is:
14050 = 21 × 52 × 2811
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 14050 and 14069.
LCM(14050,14069) = 21 × 52 × 2811 × 111 × 12791
LCM(14050,14069) = 197669450
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