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What is the Least Common Multiple of 95779 and 95788?

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 95779 and 95788 is 9174478852.

LCM(95779,95788) = 9174478852

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Least Common Multiple of 95779 and 95788 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95779 and 95788, than apply into the LCM equation.

GCF(95779,95788) = 1
LCM(95779,95788) = ( 95779 × 95788) / 1
LCM(95779,95788) = 9174478852 / 1
LCM(95779,95788) = 9174478852

Least Common Multiple (LCM) of 95779 and 95788 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95779 and 95788. First we will calculate the prime factors of 95779 and 95788.

Prime Factorization of 95779

Prime factors of 95779 are 19, 71. Prime factorization of 95779 in exponential form is:

95779 = 191 × 712

Prime Factorization of 95788

Prime factors of 95788 are 2, 7, 11, 311. Prime factorization of 95788 in exponential form is:

95788 = 22 × 71 × 111 × 3111

Now multiplying the highest exponent prime factors to calculate the LCM of 95779 and 95788.

LCM(95779,95788) = 191 × 712 × 22 × 71 × 111 × 3111
LCM(95779,95788) = 9174478852