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What is the Least Common Multiple of 97777 and 97791?

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 97791 is 9561710607.

LCM(97777,97791) = 9561710607

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Least Common Multiple of 97777 and 97791 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 97791, than apply into the LCM equation.

GCF(97777,97791) = 1
LCM(97777,97791) = ( 97777 × 97791) / 1
LCM(97777,97791) = 9561710607 / 1
LCM(97777,97791) = 9561710607

Least Common Multiple (LCM) of 97777 and 97791 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97777 and 97791. First we will calculate the prime factors of 97777 and 97791.

Prime Factorization of 97777

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

97777 = 977771

Prime Factorization of 97791

Prime factors of 97791 are 3, 37, 881. Prime factorization of 97791 in exponential form is:

97791 = 31 × 371 × 8811

Now multiplying the highest exponent prime factors to calculate the LCM of 97777 and 97791.

LCM(97777,97791) = 977771 × 31 × 371 × 8811
LCM(97777,97791) = 9561710607