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What is the Least Common Multiple of 30027 and 30037?

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 30027 and 30037 is 901920999.

LCM(30027,30037) = 901920999

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Least Common Multiple of 30027 and 30037 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30027 and 30037, than apply into the LCM equation.

GCF(30027,30037) = 1
LCM(30027,30037) = ( 30027 × 30037) / 1
LCM(30027,30037) = 901920999 / 1
LCM(30027,30037) = 901920999

Least Common Multiple (LCM) of 30027 and 30037 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30027 and 30037. First we will calculate the prime factors of 30027 and 30037.

Prime Factorization of 30027

Prime factors of 30027 are 3, 10009. Prime factorization of 30027 in exponential form is:

30027 = 31 × 100091

Prime Factorization of 30037

Prime factors of 30037 are 7, 613. Prime factorization of 30037 in exponential form is:

30037 = 72 × 6131

Now multiplying the highest exponent prime factors to calculate the LCM of 30027 and 30037.

LCM(30027,30037) = 31 × 100091 × 72 × 6131
LCM(30027,30037) = 901920999