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What is the Least Common Multiple of 56361 and 56372?

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 56361 and 56372 is 3177182292.

LCM(56361,56372) = 3177182292

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Least Common Multiple of 56361 and 56372 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56361 and 56372, than apply into the LCM equation.

GCF(56361,56372) = 1
LCM(56361,56372) = ( 56361 × 56372) / 1
LCM(56361,56372) = 3177182292 / 1
LCM(56361,56372) = 3177182292

Least Common Multiple (LCM) of 56361 and 56372 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56361 and 56372. First we will calculate the prime factors of 56361 and 56372.

Prime Factorization of 56361

Prime factors of 56361 are 3, 18787. Prime factorization of 56361 in exponential form is:

56361 = 31 × 187871

Prime Factorization of 56372

Prime factors of 56372 are 2, 17, 829. Prime factorization of 56372 in exponential form is:

56372 = 22 × 171 × 8291

Now multiplying the highest exponent prime factors to calculate the LCM of 56361 and 56372.

LCM(56361,56372) = 31 × 187871 × 22 × 171 × 8291
LCM(56361,56372) = 3177182292