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What is the Least Common Multiple of 56389 and 56408?

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 56389 and 56408 is 3180790712.

LCM(56389,56408) = 3180790712

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Least Common Multiple of 56389 and 56408 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56389 and 56408, than apply into the LCM equation.

GCF(56389,56408) = 1
LCM(56389,56408) = ( 56389 × 56408) / 1
LCM(56389,56408) = 3180790712 / 1
LCM(56389,56408) = 3180790712

Least Common Multiple (LCM) of 56389 and 56408 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56389 and 56408. First we will calculate the prime factors of 56389 and 56408.

Prime Factorization of 56389

Prime factors of 56389 are 17, 31, 107. Prime factorization of 56389 in exponential form is:

56389 = 171 × 311 × 1071

Prime Factorization of 56408

Prime factors of 56408 are 2, 11, 641. Prime factorization of 56408 in exponential form is:

56408 = 23 × 111 × 6411

Now multiplying the highest exponent prime factors to calculate the LCM of 56389 and 56408.

LCM(56389,56408) = 171 × 311 × 1071 × 23 × 111 × 6411
LCM(56389,56408) = 3180790712