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What is the Least Common Multiple of 94196 and 94206?

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 94196 and 94206 is 4436914188.

LCM(94196,94206) = 4436914188

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Least Common Multiple of 94196 and 94206 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94196 and 94206, than apply into the LCM equation.

GCF(94196,94206) = 2
LCM(94196,94206) = ( 94196 × 94206) / 2
LCM(94196,94206) = 8873828376 / 2
LCM(94196,94206) = 4436914188

Least Common Multiple (LCM) of 94196 and 94206 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94196 and 94206. First we will calculate the prime factors of 94196 and 94206.

Prime Factorization of 94196

Prime factors of 94196 are 2, 23549. Prime factorization of 94196 in exponential form is:

94196 = 22 × 235491

Prime Factorization of 94206

Prime factors of 94206 are 2, 3, 7, 2243. Prime factorization of 94206 in exponential form is:

94206 = 21 × 31 × 71 × 22431

Now multiplying the highest exponent prime factors to calculate the LCM of 94196 and 94206.

LCM(94196,94206) = 22 × 235491 × 31 × 71 × 22431
LCM(94196,94206) = 4436914188