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What is the Least Common Multiple of 54395 and 54402?

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 54395 and 54402 is 2959196790.

LCM(54395,54402) = 2959196790

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Least Common Multiple of 54395 and 54402 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54395 and 54402, than apply into the LCM equation.

GCF(54395,54402) = 1
LCM(54395,54402) = ( 54395 × 54402) / 1
LCM(54395,54402) = 2959196790 / 1
LCM(54395,54402) = 2959196790

Least Common Multiple (LCM) of 54395 and 54402 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54395 and 54402. First we will calculate the prime factors of 54395 and 54402.

Prime Factorization of 54395

Prime factors of 54395 are 5, 11, 23, 43. Prime factorization of 54395 in exponential form is:

54395 = 51 × 111 × 231 × 431

Prime Factorization of 54402

Prime factors of 54402 are 2, 3, 9067. Prime factorization of 54402 in exponential form is:

54402 = 21 × 31 × 90671

Now multiplying the highest exponent prime factors to calculate the LCM of 54395 and 54402.

LCM(54395,54402) = 51 × 111 × 231 × 431 × 21 × 31 × 90671
LCM(54395,54402) = 2959196790