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What is the Least Common Multiple of 56324 and 56338?

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 56324 and 56338 is 1586590756.

LCM(56324,56338) = 1586590756

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Least Common Multiple of 56324 and 56338 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56324 and 56338, than apply into the LCM equation.

GCF(56324,56338) = 2
LCM(56324,56338) = ( 56324 × 56338) / 2
LCM(56324,56338) = 3173181512 / 2
LCM(56324,56338) = 1586590756

Least Common Multiple (LCM) of 56324 and 56338 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56324 and 56338. First we will calculate the prime factors of 56324 and 56338.

Prime Factorization of 56324

Prime factors of 56324 are 2, 14081. Prime factorization of 56324 in exponential form is:

56324 = 22 × 140811

Prime Factorization of 56338

Prime factors of 56338 are 2, 17, 1657. Prime factorization of 56338 in exponential form is:

56338 = 21 × 171 × 16571

Now multiplying the highest exponent prime factors to calculate the LCM of 56324 and 56338.

LCM(56324,56338) = 22 × 140811 × 171 × 16571
LCM(56324,56338) = 1586590756