What is the Least Common Multiple of 14370 and 14384?
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 14384 is 103349040.
LCM(14370,14384) = 103349040
Least Common Multiple of 14370 and 14384 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 14384, than apply into the LCM equation.
GCF(14370,14384) = 2
LCM(14370,14384) = ( 14370 × 14384) / 2
LCM(14370,14384) = 206698080 / 2
LCM(14370,14384) = 103349040
Least Common Multiple (LCM) of 14370 and 14384 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 14370 and 14384. First we will calculate the prime factors of 14370 and 14384.
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 14384
Prime factors of 14384 are 2, 29, 31. Prime factorization of 14384 in exponential form is:
14384 = 24 × 291 × 311
Now multiplying the highest exponent prime factors to calculate the LCM of 14370 and 14384.
LCM(14370,14384) = 24 × 31 × 51 × 4791 × 291 × 311
LCM(14370,14384) = 103349040
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