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What is the Least Common Multiple of 30337 and 30350?

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 30337 and 30350 is 920727950.

LCM(30337,30350) = 920727950

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Least Common Multiple of 30337 and 30350 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30337 and 30350, than apply into the LCM equation.

GCF(30337,30350) = 1
LCM(30337,30350) = ( 30337 × 30350) / 1
LCM(30337,30350) = 920727950 / 1
LCM(30337,30350) = 920727950

Least Common Multiple (LCM) of 30337 and 30350 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30337 and 30350. First we will calculate the prime factors of 30337 and 30350.

Prime Factorization of 30337

Prime factors of 30337 are 23, 1319. Prime factorization of 30337 in exponential form is:

30337 = 231 × 13191

Prime Factorization of 30350

Prime factors of 30350 are 2, 5, 607. Prime factorization of 30350 in exponential form is:

30350 = 21 × 52 × 6071

Now multiplying the highest exponent prime factors to calculate the LCM of 30337 and 30350.

LCM(30337,30350) = 231 × 13191 × 21 × 52 × 6071
LCM(30337,30350) = 920727950