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What is the Least Common Multiple of 56056 and 56071?

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 56056 and 56071 is 3143115976.

LCM(56056,56071) = 3143115976

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Least Common Multiple of 56056 and 56071 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56056 and 56071, than apply into the LCM equation.

GCF(56056,56071) = 1
LCM(56056,56071) = ( 56056 × 56071) / 1
LCM(56056,56071) = 3143115976 / 1
LCM(56056,56071) = 3143115976

Least Common Multiple (LCM) of 56056 and 56071 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56056 and 56071. First we will calculate the prime factors of 56056 and 56071.

Prime Factorization of 56056

Prime factors of 56056 are 2, 7, 11, 13. Prime factorization of 56056 in exponential form is:

56056 = 23 × 72 × 111 × 131

Prime Factorization of 56071

Prime factors of 56071 are 47, 1193. Prime factorization of 56071 in exponential form is:

56071 = 471 × 11931

Now multiplying the highest exponent prime factors to calculate the LCM of 56056 and 56071.

LCM(56056,56071) = 23 × 72 × 111 × 131 × 471 × 11931
LCM(56056,56071) = 3143115976