What is the Least Common Multiple of 14365 and 14370?
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 14365 and 14370 is 41285010.
LCM(14365,14370) = 41285010
Least Common Multiple of 14365 and 14370 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14365 and 14370, than apply into the LCM equation.
GCF(14365,14370) = 5
LCM(14365,14370) = ( 14365 × 14370) / 5
LCM(14365,14370) = 206425050 / 5
LCM(14365,14370) = 41285010
Least Common Multiple (LCM) of 14365 and 14370 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 14365 and 14370. First we will calculate the prime factors of 14365 and 14370.
Prime Factorization of 14365
Prime factors of 14365 are 5, 13, 17. Prime factorization of 14365 in exponential form is:
14365 = 51 × 132 × 171
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
Now multiplying the highest exponent prime factors to calculate the LCM of 14365 and 14370.
LCM(14365,14370) = 51 × 132 × 171 × 21 × 31 × 4791
LCM(14365,14370) = 41285010
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