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What is the Least Common Multiple of 94188 and 94205?

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 94188 and 94205 is 8872980540.

LCM(94188,94205) = 8872980540

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Least Common Multiple of 94188 and 94205 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94188 and 94205, than apply into the LCM equation.

GCF(94188,94205) = 1
LCM(94188,94205) = ( 94188 × 94205) / 1
LCM(94188,94205) = 8872980540 / 1
LCM(94188,94205) = 8872980540

Least Common Multiple (LCM) of 94188 and 94205 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94188 and 94205. First we will calculate the prime factors of 94188 and 94205.

Prime Factorization of 94188

Prime factors of 94188 are 2, 3, 47, 167. Prime factorization of 94188 in exponential form is:

94188 = 22 × 31 × 471 × 1671

Prime Factorization of 94205

Prime factors of 94205 are 5, 83, 227. Prime factorization of 94205 in exponential form is:

94205 = 51 × 831 × 2271

Now multiplying the highest exponent prime factors to calculate the LCM of 94188 and 94205.

LCM(94188,94205) = 22 × 31 × 471 × 1671 × 51 × 831 × 2271
LCM(94188,94205) = 8872980540