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What is the Least Common Multiple of 4178 and 4194?

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 4178 and 4194 is 8761266.

LCM(4178,4194) = 8761266

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Least Common Multiple of 4178 and 4194 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4178 and 4194, than apply into the LCM equation.

GCF(4178,4194) = 2
LCM(4178,4194) = ( 4178 × 4194) / 2
LCM(4178,4194) = 17522532 / 2
LCM(4178,4194) = 8761266

Least Common Multiple (LCM) of 4178 and 4194 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4178 and 4194. First we will calculate the prime factors of 4178 and 4194.

Prime Factorization of 4178

Prime factors of 4178 are 2, 2089. Prime factorization of 4178 in exponential form is:

4178 = 21 × 20891

Prime Factorization of 4194

Prime factors of 4194 are 2, 3, 233. Prime factorization of 4194 in exponential form is:

4194 = 21 × 32 × 2331

Now multiplying the highest exponent prime factors to calculate the LCM of 4178 and 4194.

LCM(4178,4194) = 21 × 20891 × 32 × 2331
LCM(4178,4194) = 8761266