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What is the Least Common Multiple of 14965 and 14969?

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 14965 and 14969 is 224011085.

LCM(14965,14969) = 224011085

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Least Common Multiple of 14965 and 14969 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14965 and 14969, than apply into the LCM equation.

GCF(14965,14969) = 1
LCM(14965,14969) = ( 14965 × 14969) / 1
LCM(14965,14969) = 224011085 / 1
LCM(14965,14969) = 224011085

Least Common Multiple (LCM) of 14965 and 14969 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14965 and 14969. First we will calculate the prime factors of 14965 and 14969.

Prime Factorization of 14965

Prime factors of 14965 are 5, 41, 73. Prime factorization of 14965 in exponential form is:

14965 = 51 × 411 × 731

Prime Factorization of 14969

Prime factors of 14969 are 14969. Prime factorization of 14969 in exponential form is:

14969 = 149691

Now multiplying the highest exponent prime factors to calculate the LCM of 14965 and 14969.

LCM(14965,14969) = 51 × 411 × 731 × 149691
LCM(14965,14969) = 224011085