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What is the Least Common Multiple of 56001 and 56014?

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 56001 and 56014 is 3136840014.

LCM(56001,56014) = 3136840014

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Least Common Multiple of 56001 and 56014 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56001 and 56014, than apply into the LCM equation.

GCF(56001,56014) = 1
LCM(56001,56014) = ( 56001 × 56014) / 1
LCM(56001,56014) = 3136840014 / 1
LCM(56001,56014) = 3136840014

Least Common Multiple (LCM) of 56001 and 56014 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56001 and 56014. First we will calculate the prime factors of 56001 and 56014.

Prime Factorization of 56001

Prime factors of 56001 are 3, 11, 1697. Prime factorization of 56001 in exponential form is:

56001 = 31 × 111 × 16971

Prime Factorization of 56014

Prime factors of 56014 are 2, 7, 4001. Prime factorization of 56014 in exponential form is:

56014 = 21 × 71 × 40011

Now multiplying the highest exponent prime factors to calculate the LCM of 56001 and 56014.

LCM(56001,56014) = 31 × 111 × 16971 × 21 × 71 × 40011
LCM(56001,56014) = 3136840014