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What is the Least Common Multiple of 30815 and 30835?

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 30815 and 30835 is 190036105.

LCM(30815,30835) = 190036105

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Least Common Multiple of 30815 and 30835 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30815 and 30835, than apply into the LCM equation.

GCF(30815,30835) = 5
LCM(30815,30835) = ( 30815 × 30835) / 5
LCM(30815,30835) = 950180525 / 5
LCM(30815,30835) = 190036105

Least Common Multiple (LCM) of 30815 and 30835 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30815 and 30835. First we will calculate the prime factors of 30815 and 30835.

Prime Factorization of 30815

Prime factors of 30815 are 5, 6163. Prime factorization of 30815 in exponential form is:

30815 = 51 × 61631

Prime Factorization of 30835

Prime factors of 30835 are 5, 7, 881. Prime factorization of 30835 in exponential form is:

30835 = 51 × 71 × 8811

Now multiplying the highest exponent prime factors to calculate the LCM of 30815 and 30835.

LCM(30815,30835) = 51 × 61631 × 71 × 8811
LCM(30815,30835) = 190036105