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What is the Least Common Multiple of 94094 and 94100?

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 94094 and 94100 is 4427122700.

LCM(94094,94100) = 4427122700

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Least Common Multiple of 94094 and 94100 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94094 and 94100, than apply into the LCM equation.

GCF(94094,94100) = 2
LCM(94094,94100) = ( 94094 × 94100) / 2
LCM(94094,94100) = 8854245400 / 2
LCM(94094,94100) = 4427122700

Least Common Multiple (LCM) of 94094 and 94100 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94094 and 94100. First we will calculate the prime factors of 94094 and 94100.

Prime Factorization of 94094

Prime factors of 94094 are 2, 7, 11, 13, 47. Prime factorization of 94094 in exponential form is:

94094 = 21 × 71 × 111 × 131 × 471

Prime Factorization of 94100

Prime factors of 94100 are 2, 5, 941. Prime factorization of 94100 in exponential form is:

94100 = 22 × 52 × 9411

Now multiplying the highest exponent prime factors to calculate the LCM of 94094 and 94100.

LCM(94094,94100) = 22 × 71 × 111 × 131 × 471 × 52 × 9411
LCM(94094,94100) = 4427122700