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What is the Least Common Multiple of 56168 and 56185?

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 56168 and 56185 is 185635240.

LCM(56168,56185) = 185635240

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Least Common Multiple of 56168 and 56185 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56168 and 56185, than apply into the LCM equation.

GCF(56168,56185) = 17
LCM(56168,56185) = ( 56168 × 56185) / 17
LCM(56168,56185) = 3155799080 / 17
LCM(56168,56185) = 185635240

Least Common Multiple (LCM) of 56168 and 56185 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56168 and 56185. First we will calculate the prime factors of 56168 and 56185.

Prime Factorization of 56168

Prime factors of 56168 are 2, 7, 17, 59. Prime factorization of 56168 in exponential form is:

56168 = 23 × 71 × 171 × 591

Prime Factorization of 56185

Prime factors of 56185 are 5, 17, 661. Prime factorization of 56185 in exponential form is:

56185 = 51 × 171 × 6611

Now multiplying the highest exponent prime factors to calculate the LCM of 56168 and 56185.

LCM(56168,56185) = 23 × 71 × 171 × 591 × 51 × 6611
LCM(56168,56185) = 185635240