What is the Least Common Multiple of 14342 and 14350?
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 14342 and 14350 is 102903850.
LCM(14342,14350) = 102903850
Least Common Multiple of 14342 and 14350 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14342 and 14350, than apply into the LCM equation.
GCF(14342,14350) = 2
LCM(14342,14350) = ( 14342 × 14350) / 2
LCM(14342,14350) = 205807700 / 2
LCM(14342,14350) = 102903850
Least Common Multiple (LCM) of 14342 and 14350 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 14342 and 14350. First we will calculate the prime factors of 14342 and 14350.
Prime Factorization of 14342
Prime factors of 14342 are 2, 71, 101. Prime factorization of 14342 in exponential form is:
14342 = 21 × 711 × 1011
Prime Factorization of 14350
Prime factors of 14350 are 2, 5, 7, 41. Prime factorization of 14350 in exponential form is:
14350 = 21 × 52 × 71 × 411
Now multiplying the highest exponent prime factors to calculate the LCM of 14342 and 14350.
LCM(14342,14350) = 21 × 711 × 1011 × 52 × 71 × 411
LCM(14342,14350) = 102903850
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