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What is the Least Common Multiple of 28030 and 28037?

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 28030 and 28037 is 785877110.

LCM(28030,28037) = 785877110

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Least Common Multiple of 28030 and 28037 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28030 and 28037, than apply into the LCM equation.

GCF(28030,28037) = 1
LCM(28030,28037) = ( 28030 × 28037) / 1
LCM(28030,28037) = 785877110 / 1
LCM(28030,28037) = 785877110

Least Common Multiple (LCM) of 28030 and 28037 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28030 and 28037. First we will calculate the prime factors of 28030 and 28037.

Prime Factorization of 28030

Prime factors of 28030 are 2, 5, 2803. Prime factorization of 28030 in exponential form is:

28030 = 21 × 51 × 28031

Prime Factorization of 28037

Prime factors of 28037 are 23, 53. Prime factorization of 28037 in exponential form is:

28037 = 232 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 28030 and 28037.

LCM(28030,28037) = 21 × 51 × 28031 × 232 × 531
LCM(28030,28037) = 785877110