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What is the Least Common Multiple of 95881 and 95890?

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 95881 and 95890 is 9194029090.

LCM(95881,95890) = 9194029090

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Least Common Multiple of 95881 and 95890 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95881 and 95890, than apply into the LCM equation.

GCF(95881,95890) = 1
LCM(95881,95890) = ( 95881 × 95890) / 1
LCM(95881,95890) = 9194029090 / 1
LCM(95881,95890) = 9194029090

Least Common Multiple (LCM) of 95881 and 95890 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95881 and 95890. First we will calculate the prime factors of 95881 and 95890.

Prime Factorization of 95881

Prime factors of 95881 are 95881. Prime factorization of 95881 in exponential form is:

95881 = 958811

Prime Factorization of 95890

Prime factors of 95890 are 2, 5, 43, 223. Prime factorization of 95890 in exponential form is:

95890 = 21 × 51 × 431 × 2231

Now multiplying the highest exponent prime factors to calculate the LCM of 95881 and 95890.

LCM(95881,95890) = 958811 × 21 × 51 × 431 × 2231
LCM(95881,95890) = 9194029090