What is the Least Common Multiple of 18290 and 18299?
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 18290 and 18299 is 334688710.
LCM(18290,18299) = 334688710
Least Common Multiple of 18290 and 18299 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18290 and 18299, than apply into the LCM equation.
GCF(18290,18299) = 1
LCM(18290,18299) = ( 18290 × 18299) / 1
LCM(18290,18299) = 334688710 / 1
LCM(18290,18299) = 334688710
Least Common Multiple (LCM) of 18290 and 18299 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18290 and 18299. First we will calculate the prime factors of 18290 and 18299.
Prime Factorization of 18290
Prime factors of 18290 are 2, 5, 31, 59. Prime factorization of 18290 in exponential form is:
18290 = 21 × 51 × 311 × 591
Prime Factorization of 18299
Prime factors of 18299 are 29, 631. Prime factorization of 18299 in exponential form is:
18299 = 291 × 6311
Now multiplying the highest exponent prime factors to calculate the LCM of 18290 and 18299.
LCM(18290,18299) = 21 × 51 × 311 × 591 × 291 × 6311
LCM(18290,18299) = 334688710
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