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What is the Least Common Multiple of 97777 and 97796?

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 97777 and 97796 is 9562199492.

LCM(97777,97796) = 9562199492

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Least Common Multiple of 97777 and 97796 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97777 and 97796, than apply into the LCM equation.

GCF(97777,97796) = 1
LCM(97777,97796) = ( 97777 × 97796) / 1
LCM(97777,97796) = 9562199492 / 1
LCM(97777,97796) = 9562199492

Least Common Multiple (LCM) of 97777 and 97796 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97777 and 97796. First we will calculate the prime factors of 97777 and 97796.

Prime Factorization of 97777

Prime factors of 97777 are 97777. Prime factorization of 97777 in exponential form is:

97777 = 977771

Prime Factorization of 97796

Prime factors of 97796 are 2, 23, 1063. Prime factorization of 97796 in exponential form is:

97796 = 22 × 231 × 10631

Now multiplying the highest exponent prime factors to calculate the LCM of 97777 and 97796.

LCM(97777,97796) = 977771 × 22 × 231 × 10631
LCM(97777,97796) = 9562199492