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What is the Least Common Multiple of 56168 and 56172?

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 56172 is 788767224.

LCM(56168,56172) = 788767224

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Least Common Multiple of 56168 and 56172 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 56172, than apply into the LCM equation.

GCF(56168,56172) = 4
LCM(56168,56172) = ( 56168 × 56172) / 4
LCM(56168,56172) = 3155068896 / 4
LCM(56168,56172) = 788767224

Least Common Multiple (LCM) of 56168 and 56172 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56168 and 56172. First we will calculate the prime factors of 56168 and 56172.

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 56172

Prime factors of 56172 are 2, 3, 31, 151. Prime factorization of 56172 in exponential form is:

56172 = 22 × 31 × 311 × 1511

Now multiplying the highest exponent prime factors to calculate the LCM of 56168 and 56172.

LCM(56168,56172) = 23 × 71 × 171 × 591 × 31 × 311 × 1511
LCM(56168,56172) = 788767224