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What is the Least Common Multiple of 56029 and 56035?

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 56035 is 3139585015.

LCM(56029,56035) = 3139585015

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Least Common Multiple of 56029 and 56035 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 56035, than apply into the LCM equation.

GCF(56029,56035) = 1
LCM(56029,56035) = ( 56029 × 56035) / 1
LCM(56029,56035) = 3139585015 / 1
LCM(56029,56035) = 3139585015

Least Common Multiple (LCM) of 56029 and 56035 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56029 and 56035. First we will calculate the prime factors of 56029 and 56035.

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 56035

Prime factors of 56035 are 5, 7, 1601. Prime factorization of 56035 in exponential form is:

56035 = 51 × 71 × 16011

Now multiplying the highest exponent prime factors to calculate the LCM of 56029 and 56035.

LCM(56029,56035) = 431 × 13031 × 51 × 71 × 16011
LCM(56029,56035) = 3139585015