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What is the Least Common Multiple of 56403 and 56412?

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 56403 and 56412 is 353534004.

LCM(56403,56412) = 353534004

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Least Common Multiple of 56403 and 56412 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56403 and 56412, than apply into the LCM equation.

GCF(56403,56412) = 9
LCM(56403,56412) = ( 56403 × 56412) / 9
LCM(56403,56412) = 3181806036 / 9
LCM(56403,56412) = 353534004

Least Common Multiple (LCM) of 56403 and 56412 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56403 and 56412. First we will calculate the prime factors of 56403 and 56412.

Prime Factorization of 56403

Prime factors of 56403 are 3, 2089. Prime factorization of 56403 in exponential form is:

56403 = 33 × 20891

Prime Factorization of 56412

Prime factors of 56412 are 2, 3, 1567. Prime factorization of 56412 in exponential form is:

56412 = 22 × 32 × 15671

Now multiplying the highest exponent prime factors to calculate the LCM of 56403 and 56412.

LCM(56403,56412) = 33 × 20891 × 22 × 15671
LCM(56403,56412) = 353534004