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What is the Least Common Multiple of 785 and 796?

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 785 and 796 is 624860.

LCM(785,796) = 624860

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Least Common Multiple of 785 and 796 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 785 and 796, than apply into the LCM equation.

GCF(785,796) = 1
LCM(785,796) = ( 785 × 796) / 1
LCM(785,796) = 624860 / 1
LCM(785,796) = 624860

Least Common Multiple (LCM) of 785 and 796 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 785 and 796. First we will calculate the prime factors of 785 and 796.

Prime Factorization of 785

Prime factors of 785 are 5, 157. Prime factorization of 785 in exponential form is:

785 = 51 × 1571

Prime Factorization of 796

Prime factors of 796 are 2, 199. Prime factorization of 796 in exponential form is:

796 = 22 × 1991

Now multiplying the highest exponent prime factors to calculate the LCM of 785 and 796.

LCM(785,796) = 51 × 1571 × 22 × 1991
LCM(785,796) = 624860