What is the Least Common Multiple of 19299 and 19318?
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 19299 and 19318 is 372818082.
LCM(19299,19318) = 372818082
Least Common Multiple of 19299 and 19318 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19299 and 19318, than apply into the LCM equation.
GCF(19299,19318) = 1
LCM(19299,19318) = ( 19299 × 19318) / 1
LCM(19299,19318) = 372818082 / 1
LCM(19299,19318) = 372818082
Least Common Multiple (LCM) of 19299 and 19318 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 19299 and 19318. First we will calculate the prime factors of 19299 and 19318.
Prime Factorization of 19299
Prime factors of 19299 are 3, 7, 919. Prime factorization of 19299 in exponential form is:
19299 = 31 × 71 × 9191
Prime Factorization of 19318
Prime factors of 19318 are 2, 13, 743. Prime factorization of 19318 in exponential form is:
19318 = 21 × 131 × 7431
Now multiplying the highest exponent prime factors to calculate the LCM of 19299 and 19318.
LCM(19299,19318) = 31 × 71 × 9191 × 21 × 131 × 7431
LCM(19299,19318) = 372818082
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