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What is the Least Common Multiple of 56021 and 56030?

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 56021 and 56030 is 3138856630.

LCM(56021,56030) = 3138856630

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Least Common Multiple of 56021 and 56030 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56021 and 56030, than apply into the LCM equation.

GCF(56021,56030) = 1
LCM(56021,56030) = ( 56021 × 56030) / 1
LCM(56021,56030) = 3138856630 / 1
LCM(56021,56030) = 3138856630

Least Common Multiple (LCM) of 56021 and 56030 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56021 and 56030. First we will calculate the prime factors of 56021 and 56030.

Prime Factorization of 56021

Prime factors of 56021 are 7, 53, 151. Prime factorization of 56021 in exponential form is:

56021 = 71 × 531 × 1511

Prime Factorization of 56030

Prime factors of 56030 are 2, 5, 13, 431. Prime factorization of 56030 in exponential form is:

56030 = 21 × 51 × 131 × 4311

Now multiplying the highest exponent prime factors to calculate the LCM of 56021 and 56030.

LCM(56021,56030) = 71 × 531 × 1511 × 21 × 51 × 131 × 4311
LCM(56021,56030) = 3138856630