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What is the Least Common Multiple of 94396 and 94406?

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 94396 and 94406 is 4455774388.

LCM(94396,94406) = 4455774388

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Least Common Multiple of 94396 and 94406 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94396 and 94406, than apply into the LCM equation.

GCF(94396,94406) = 2
LCM(94396,94406) = ( 94396 × 94406) / 2
LCM(94396,94406) = 8911548776 / 2
LCM(94396,94406) = 4455774388

Least Common Multiple (LCM) of 94396 and 94406 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94396 and 94406. First we will calculate the prime factors of 94396 and 94406.

Prime Factorization of 94396

Prime factors of 94396 are 2, 23599. Prime factorization of 94396 in exponential form is:

94396 = 22 × 235991

Prime Factorization of 94406

Prime factors of 94406 are 2, 13, 3631. Prime factorization of 94406 in exponential form is:

94406 = 21 × 131 × 36311

Now multiplying the highest exponent prime factors to calculate the LCM of 94396 and 94406.

LCM(94396,94406) = 22 × 235991 × 131 × 36311
LCM(94396,94406) = 4455774388