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What is the Least Common Multiple of 56029 and 56040?

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 56029 and 56040 is 3139865160.

LCM(56029,56040) = 3139865160

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Least Common Multiple of 56029 and 56040 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56029 and 56040, than apply into the LCM equation.

GCF(56029,56040) = 1
LCM(56029,56040) = ( 56029 × 56040) / 1
LCM(56029,56040) = 3139865160 / 1
LCM(56029,56040) = 3139865160

Least Common Multiple (LCM) of 56029 and 56040 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56029 and 56040. First we will calculate the prime factors of 56029 and 56040.

Prime Factorization of 56029

Prime factors of 56029 are 43, 1303. Prime factorization of 56029 in exponential form is:

56029 = 431 × 13031

Prime Factorization of 56040

Prime factors of 56040 are 2, 3, 5, 467. Prime factorization of 56040 in exponential form is:

56040 = 23 × 31 × 51 × 4671

Now multiplying the highest exponent prime factors to calculate the LCM of 56029 and 56040.

LCM(56029,56040) = 431 × 13031 × 23 × 31 × 51 × 4671
LCM(56029,56040) = 3139865160