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What is the Least Common Multiple of 96791 and 96799?

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 96791 and 96799 is 9369272009.

LCM(96791,96799) = 9369272009

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Least Common Multiple of 96791 and 96799 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96791 and 96799, than apply into the LCM equation.

GCF(96791,96799) = 1
LCM(96791,96799) = ( 96791 × 96799) / 1
LCM(96791,96799) = 9369272009 / 1
LCM(96791,96799) = 9369272009

Least Common Multiple (LCM) of 96791 and 96799 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96791 and 96799. First we will calculate the prime factors of 96791 and 96799.

Prime Factorization of 96791

Prime factors of 96791 are 151, 641. Prime factorization of 96791 in exponential form is:

96791 = 1511 × 6411

Prime Factorization of 96799

Prime factors of 96799 are 96799. Prime factorization of 96799 in exponential form is:

96799 = 967991

Now multiplying the highest exponent prime factors to calculate the LCM of 96791 and 96799.

LCM(96791,96799) = 1511 × 6411 × 967991
LCM(96791,96799) = 9369272009