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What is the Least Common Multiple of 30290 and 30303?

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 30303 is 70605990.

LCM(30290,30303) = 70605990

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Least Common Multiple of 30290 and 30303 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 30303, than apply into the LCM equation.

GCF(30290,30303) = 13
LCM(30290,30303) = ( 30290 × 30303) / 13
LCM(30290,30303) = 917877870 / 13
LCM(30290,30303) = 70605990

Least Common Multiple (LCM) of 30290 and 30303 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30290 and 30303. First we will calculate the prime factors of 30290 and 30303.

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 30303

Prime factors of 30303 are 3, 7, 13, 37. Prime factorization of 30303 in exponential form is:

30303 = 32 × 71 × 131 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 30290 and 30303.

LCM(30290,30303) = 21 × 51 × 131 × 2331 × 32 × 71 × 371
LCM(30290,30303) = 70605990