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What is the Least Common Multiple of 30299 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 30299 and 30315 is 918514185.

LCM(30299,30315) = 918514185

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Least Common Multiple of 30299 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 30299 and 30315, than apply into the LCM equation.

GCF(30299,30315) = 1
LCM(30299,30315) = ( 30299 × 30315) / 1
LCM(30299,30315) = 918514185 / 1
LCM(30299,30315) = 918514185

Least Common Multiple (LCM) of 30299 and 30315 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30299 and 30315. First we will calculate the prime factors of 30299 and 30315.

Prime Factorization of 30299

Prime factors of 30299 are 41, 739. Prime factorization of 30299 in exponential form is:

30299 = 411 × 7391

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 30299 and 30315.

LCM(30299,30315) = 411 × 7391 × 31 × 51 × 431 × 471
LCM(30299,30315) = 918514185