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
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
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