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What is the Least Common Multiple of 95777 and 95782?

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 95777 and 95782 is 9173712614.

LCM(95777,95782) = 9173712614

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Least Common Multiple of 95777 and 95782 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95777 and 95782, than apply into the LCM equation.

GCF(95777,95782) = 1
LCM(95777,95782) = ( 95777 × 95782) / 1
LCM(95777,95782) = 9173712614 / 1
LCM(95777,95782) = 9173712614

Least Common Multiple (LCM) of 95777 and 95782 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95777 and 95782. First we will calculate the prime factors of 95777 and 95782.

Prime Factorization of 95777

Prime factors of 95777 are 11, 8707. Prime factorization of 95777 in exponential form is:

95777 = 111 × 87071

Prime Factorization of 95782

Prime factors of 95782 are 2, 83, 577. Prime factorization of 95782 in exponential form is:

95782 = 21 × 831 × 5771

Now multiplying the highest exponent prime factors to calculate the LCM of 95777 and 95782.

LCM(95777,95782) = 111 × 87071 × 21 × 831 × 5771
LCM(95777,95782) = 9173712614