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What is the Least Common Multiple of 95787 and 95794?

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 95787 and 95794 is 9175819878.

LCM(95787,95794) = 9175819878

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Least Common Multiple of 95787 and 95794 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95787 and 95794, than apply into the LCM equation.

GCF(95787,95794) = 1
LCM(95787,95794) = ( 95787 × 95794) / 1
LCM(95787,95794) = 9175819878 / 1
LCM(95787,95794) = 9175819878

Least Common Multiple (LCM) of 95787 and 95794 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95787 and 95794. First we will calculate the prime factors of 95787 and 95794.

Prime Factorization of 95787

Prime factors of 95787 are 3, 29, 367. Prime factorization of 95787 in exponential form is:

95787 = 32 × 291 × 3671

Prime Factorization of 95794

Prime factors of 95794 are 2, 211, 227. Prime factorization of 95794 in exponential form is:

95794 = 21 × 2111 × 2271

Now multiplying the highest exponent prime factors to calculate the LCM of 95787 and 95794.

LCM(95787,95794) = 32 × 291 × 3671 × 21 × 2111 × 2271
LCM(95787,95794) = 9175819878