What is the Least Common Multiple of 14370 and 14381?
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 14370 and 14381 is 206654970.
LCM(14370,14381) = 206654970
Least Common Multiple of 14370 and 14381 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14370 and 14381, than apply into the LCM equation.
GCF(14370,14381) = 1
LCM(14370,14381) = ( 14370 × 14381) / 1
LCM(14370,14381) = 206654970 / 1
LCM(14370,14381) = 206654970
Least Common Multiple (LCM) of 14370 and 14381 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 14370 and 14381. First we will calculate the prime factors of 14370 and 14381.
Prime Factorization of 14370
Prime factors of 14370 are 2, 3, 5, 479. Prime factorization of 14370 in exponential form is:
14370 = 21 × 31 × 51 × 4791
Prime Factorization of 14381
Prime factors of 14381 are 73, 197. Prime factorization of 14381 in exponential form is:
14381 = 731 × 1971
Now multiplying the highest exponent prime factors to calculate the LCM of 14370 and 14381.
LCM(14370,14381) = 21 × 31 × 51 × 4791 × 731 × 1971
LCM(14370,14381) = 206654970
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