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What is the Least Common Multiple of 47020 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 47020 and 47030 is 221135060.

LCM(47020,47030) = 221135060

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Least Common Multiple of 47020 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 47020 and 47030, than apply into the LCM equation.

GCF(47020,47030) = 10
LCM(47020,47030) = ( 47020 × 47030) / 10
LCM(47020,47030) = 2211350600 / 10
LCM(47020,47030) = 221135060

Least Common Multiple (LCM) of 47020 and 47030 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47020 and 47030. First we will calculate the prime factors of 47020 and 47030.

Prime Factorization of 47020

Prime factors of 47020 are 2, 5, 2351. Prime factorization of 47020 in exponential form is:

47020 = 22 × 51 × 23511

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 47020 and 47030.

LCM(47020,47030) = 22 × 51 × 23511 × 47031
LCM(47020,47030) = 221135060