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What is the Least Common Multiple of 56394 and 56402?

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 56394 and 56402 is 1590367194.

LCM(56394,56402) = 1590367194

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Least Common Multiple of 56394 and 56402 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56394 and 56402, than apply into the LCM equation.

GCF(56394,56402) = 2
LCM(56394,56402) = ( 56394 × 56402) / 2
LCM(56394,56402) = 3180734388 / 2
LCM(56394,56402) = 1590367194

Least Common Multiple (LCM) of 56394 and 56402 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56394 and 56402. First we will calculate the prime factors of 56394 and 56402.

Prime Factorization of 56394

Prime factors of 56394 are 2, 3, 13, 241. Prime factorization of 56394 in exponential form is:

56394 = 21 × 32 × 131 × 2411

Prime Factorization of 56402

Prime factors of 56402 are 2, 28201. Prime factorization of 56402 in exponential form is:

56402 = 21 × 282011

Now multiplying the highest exponent prime factors to calculate the LCM of 56394 and 56402.

LCM(56394,56402) = 21 × 32 × 131 × 2411 × 282011
LCM(56394,56402) = 1590367194