What is the Least Common Multiple of 14060 and 14073?
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 14060 and 14073 is 197866380.
LCM(14060,14073) = 197866380
Least Common Multiple of 14060 and 14073 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14060 and 14073, than apply into the LCM equation.
GCF(14060,14073) = 1
LCM(14060,14073) = ( 14060 × 14073) / 1
LCM(14060,14073) = 197866380 / 1
LCM(14060,14073) = 197866380
Least Common Multiple (LCM) of 14060 and 14073 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 14060 and 14073. First we will calculate the prime factors of 14060 and 14073.
Prime Factorization of 14060
Prime factors of 14060 are 2, 5, 19, 37. Prime factorization of 14060 in exponential form is:
14060 = 22 × 51 × 191 × 371
Prime Factorization of 14073
Prime factors of 14073 are 3, 4691. Prime factorization of 14073 in exponential form is:
14073 = 31 × 46911
Now multiplying the highest exponent prime factors to calculate the LCM of 14060 and 14073.
LCM(14060,14073) = 22 × 51 × 191 × 371 × 31 × 46911
LCM(14060,14073) = 197866380
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