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What is the Least Common Multiple of 56176 and 56194?

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 56176 and 56194 is 1578377072.

LCM(56176,56194) = 1578377072

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Least Common Multiple of 56176 and 56194 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56176 and 56194, than apply into the LCM equation.

GCF(56176,56194) = 2
LCM(56176,56194) = ( 56176 × 56194) / 2
LCM(56176,56194) = 3156754144 / 2
LCM(56176,56194) = 1578377072

Least Common Multiple (LCM) of 56176 and 56194 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56176 and 56194. First we will calculate the prime factors of 56176 and 56194.

Prime Factorization of 56176

Prime factors of 56176 are 2, 3511. Prime factorization of 56176 in exponential form is:

56176 = 24 × 35111

Prime Factorization of 56194

Prime factors of 56194 are 2, 28097. Prime factorization of 56194 in exponential form is:

56194 = 21 × 280971

Now multiplying the highest exponent prime factors to calculate the LCM of 56176 and 56194.

LCM(56176,56194) = 24 × 35111 × 280971
LCM(56176,56194) = 1578377072