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What is the Least Common Multiple of 56469 and 56474?

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 56469 and 56474 is 3189030306.

LCM(56469,56474) = 3189030306

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Least Common Multiple of 56469 and 56474 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56469 and 56474, than apply into the LCM equation.

GCF(56469,56474) = 1
LCM(56469,56474) = ( 56469 × 56474) / 1
LCM(56469,56474) = 3189030306 / 1
LCM(56469,56474) = 3189030306

Least Common Multiple (LCM) of 56469 and 56474 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56469 and 56474. First we will calculate the prime factors of 56469 and 56474.

Prime Factorization of 56469

Prime factors of 56469 are 3, 7, 2689. Prime factorization of 56469 in exponential form is:

56469 = 31 × 71 × 26891

Prime Factorization of 56474

Prime factors of 56474 are 2, 11, 17, 151. Prime factorization of 56474 in exponential form is:

56474 = 21 × 111 × 171 × 1511

Now multiplying the highest exponent prime factors to calculate the LCM of 56469 and 56474.

LCM(56469,56474) = 31 × 71 × 26891 × 21 × 111 × 171 × 1511
LCM(56469,56474) = 3189030306