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What is the Least Common Multiple of 9050 and 9063?

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 9050 and 9063 is 82020150.

LCM(9050,9063) = 82020150

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Least Common Multiple of 9050 and 9063 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9050 and 9063, than apply into the LCM equation.

GCF(9050,9063) = 1
LCM(9050,9063) = ( 9050 × 9063) / 1
LCM(9050,9063) = 82020150 / 1
LCM(9050,9063) = 82020150

Least Common Multiple (LCM) of 9050 and 9063 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9050 and 9063. First we will calculate the prime factors of 9050 and 9063.

Prime Factorization of 9050

Prime factors of 9050 are 2, 5, 181. Prime factorization of 9050 in exponential form is:

9050 = 21 × 52 × 1811

Prime Factorization of 9063

Prime factors of 9063 are 3, 19, 53. Prime factorization of 9063 in exponential form is:

9063 = 32 × 191 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 9050 and 9063.

LCM(9050,9063) = 21 × 52 × 1811 × 32 × 191 × 531
LCM(9050,9063) = 82020150