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What is the Least Common Multiple of 14960 and 14973?

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 14960 and 14973 is 223996080.

LCM(14960,14973) = 223996080

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Least Common Multiple of 14960 and 14973 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14960 and 14973, than apply into the LCM equation.

GCF(14960,14973) = 1
LCM(14960,14973) = ( 14960 × 14973) / 1
LCM(14960,14973) = 223996080 / 1
LCM(14960,14973) = 223996080

Least Common Multiple (LCM) of 14960 and 14973 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14960 and 14973. First we will calculate the prime factors of 14960 and 14973.

Prime Factorization of 14960

Prime factors of 14960 are 2, 5, 11, 17. Prime factorization of 14960 in exponential form is:

14960 = 24 × 51 × 111 × 171

Prime Factorization of 14973

Prime factors of 14973 are 3, 7, 23, 31. Prime factorization of 14973 in exponential form is:

14973 = 31 × 71 × 231 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 14960 and 14973.

LCM(14960,14973) = 24 × 51 × 111 × 171 × 31 × 71 × 231 × 311
LCM(14960,14973) = 223996080