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What is the Least Common Multiple of 774 and 789?

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 774 and 789 is 203562.

LCM(774,789) = 203562

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Least Common Multiple of 774 and 789 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 774 and 789, than apply into the LCM equation.

GCF(774,789) = 3
LCM(774,789) = ( 774 × 789) / 3
LCM(774,789) = 610686 / 3
LCM(774,789) = 203562

Least Common Multiple (LCM) of 774 and 789 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 774 and 789. First we will calculate the prime factors of 774 and 789.

Prime Factorization of 774

Prime factors of 774 are 2, 3, 43. Prime factorization of 774 in exponential form is:

774 = 21 × 32 × 431

Prime Factorization of 789

Prime factors of 789 are 3, 263. Prime factorization of 789 in exponential form is:

789 = 31 × 2631

Now multiplying the highest exponent prime factors to calculate the LCM of 774 and 789.

LCM(774,789) = 21 × 32 × 431 × 2631
LCM(774,789) = 203562