What is the Least Common Multiple of 30290 and 30309?
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 30290 and 30309 is 918059610.
LCM(30290,30309) = 918059610
Least Common Multiple of 30290 and 30309 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30290 and 30309, than apply into the LCM equation.
GCF(30290,30309) = 1
LCM(30290,30309) = ( 30290 × 30309) / 1
LCM(30290,30309) = 918059610 / 1
LCM(30290,30309) = 918059610
Least Common Multiple (LCM) of 30290 and 30309 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 30290 and 30309. First we will calculate the prime factors of 30290 and 30309.
Prime Factorization of 30290
Prime factors of 30290 are 2, 5, 13, 233. Prime factorization of 30290 in exponential form is:
30290 = 21 × 51 × 131 × 2331
Prime Factorization of 30309
Prime factors of 30309 are 3, 10103. Prime factorization of 30309 in exponential form is:
30309 = 31 × 101031
Now multiplying the highest exponent prime factors to calculate the LCM of 30290 and 30309.
LCM(30290,30309) = 21 × 51 × 131 × 2331 × 31 × 101031
LCM(30290,30309) = 918059610
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