What is the Least Common Multiple of 30358 and 30365?
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 30358 and 30365 is 921820670.
LCM(30358,30365) = 921820670
Least Common Multiple of 30358 and 30365 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30358 and 30365, than apply into the LCM equation.
GCF(30358,30365) = 1
LCM(30358,30365) = ( 30358 × 30365) / 1
LCM(30358,30365) = 921820670 / 1
LCM(30358,30365) = 921820670
Least Common Multiple (LCM) of 30358 and 30365 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 30358 and 30365. First we will calculate the prime factors of 30358 and 30365.
Prime Factorization of 30358
Prime factors of 30358 are 2, 43, 353. Prime factorization of 30358 in exponential form is:
30358 = 21 × 431 × 3531
Prime Factorization of 30365
Prime factors of 30365 are 5, 6073. Prime factorization of 30365 in exponential form is:
30365 = 51 × 60731
Now multiplying the highest exponent prime factors to calculate the LCM of 30358 and 30365.
LCM(30358,30365) = 21 × 431 × 3531 × 51 × 60731
LCM(30358,30365) = 921820670
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