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What is the Least Common Multiple of 5412 and 5417?

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 5412 and 5417 is 29316804.

LCM(5412,5417) = 29316804

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Least Common Multiple of 5412 and 5417 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5412 and 5417, than apply into the LCM equation.

GCF(5412,5417) = 1
LCM(5412,5417) = ( 5412 × 5417) / 1
LCM(5412,5417) = 29316804 / 1
LCM(5412,5417) = 29316804

Least Common Multiple (LCM) of 5412 and 5417 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5412 and 5417. First we will calculate the prime factors of 5412 and 5417.

Prime Factorization of 5412

Prime factors of 5412 are 2, 3, 11, 41. Prime factorization of 5412 in exponential form is:

5412 = 22 × 31 × 111 × 411

Prime Factorization of 5417

Prime factors of 5417 are 5417. Prime factorization of 5417 in exponential form is:

5417 = 54171

Now multiplying the highest exponent prime factors to calculate the LCM of 5412 and 5417.

LCM(5412,5417) = 22 × 31 × 111 × 411 × 54171
LCM(5412,5417) = 29316804