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What is the Least Common Multiple of 30298 and 30315?

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 30298 and 30315 is 918483870.

LCM(30298,30315) = 918483870

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Least Common Multiple of 30298 and 30315 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30298 and 30315, than apply into the LCM equation.

GCF(30298,30315) = 1
LCM(30298,30315) = ( 30298 × 30315) / 1
LCM(30298,30315) = 918483870 / 1
LCM(30298,30315) = 918483870

Least Common Multiple (LCM) of 30298 and 30315 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30298 and 30315. First we will calculate the prime factors of 30298 and 30315.

Prime Factorization of 30298

Prime factors of 30298 are 2, 15149. Prime factorization of 30298 in exponential form is:

30298 = 21 × 151491

Prime Factorization of 30315

Prime factors of 30315 are 3, 5, 43, 47. Prime factorization of 30315 in exponential form is:

30315 = 31 × 51 × 431 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 30298 and 30315.

LCM(30298,30315) = 21 × 151491 × 31 × 51 × 431 × 471
LCM(30298,30315) = 918483870