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What is the Least Common Multiple of 47024 and 47030?

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 47024 and 47030 is 1105769360.

LCM(47024,47030) = 1105769360

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Least Common Multiple of 47024 and 47030 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47024 and 47030, than apply into the LCM equation.

GCF(47024,47030) = 2
LCM(47024,47030) = ( 47024 × 47030) / 2
LCM(47024,47030) = 2211538720 / 2
LCM(47024,47030) = 1105769360

Least Common Multiple (LCM) of 47024 and 47030 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47024 and 47030. First we will calculate the prime factors of 47024 and 47030.

Prime Factorization of 47024

Prime factors of 47024 are 2, 2939. Prime factorization of 47024 in exponential form is:

47024 = 24 × 29391

Prime Factorization of 47030

Prime factors of 47030 are 2, 5, 4703. Prime factorization of 47030 in exponential form is:

47030 = 21 × 51 × 47031

Now multiplying the highest exponent prime factors to calculate the LCM of 47024 and 47030.

LCM(47024,47030) = 24 × 29391 × 51 × 47031
LCM(47024,47030) = 1105769360