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What is the Least Common Multiple of 56003 and 56007?

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 56003 and 56007 is 3136560021.

LCM(56003,56007) = 3136560021

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Least Common Multiple of 56003 and 56007 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56003 and 56007, than apply into the LCM equation.

GCF(56003,56007) = 1
LCM(56003,56007) = ( 56003 × 56007) / 1
LCM(56003,56007) = 3136560021 / 1
LCM(56003,56007) = 3136560021

Least Common Multiple (LCM) of 56003 and 56007 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56003 and 56007. First we will calculate the prime factors of 56003 and 56007.

Prime Factorization of 56003

Prime factors of 56003 are 56003. Prime factorization of 56003 in exponential form is:

56003 = 560031

Prime Factorization of 56007

Prime factors of 56007 are 3, 7, 127. Prime factorization of 56007 in exponential form is:

56007 = 32 × 72 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 56003 and 56007.

LCM(56003,56007) = 560031 × 32 × 72 × 1271
LCM(56003,56007) = 3136560021