What is the Least Common Multiple of 9774 and 9789?

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 of 9774 and 9789 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9774 and 9789, than apply into the LCM equation.

GCF(9774,9789) = 3
LCM(9774,9789) = ( 9774 × 9789) / 3
LCM(9774,9789) = 95677686 / 3
LCM(9774,9789) = 31892562

Least Common Multiple (LCM) of 9774 and 9789 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9774 and 9789. First we will calculate the prime factors of 9774 and 9789.

Prime Factorization of 9774

Prime Factorization of 9789

Now multiplying the highest exponent prime factors to calculate the LCM of 9774 and 9789.

LCM(9774,9789) = 2¹ × 3³ × 181¹ × 13¹ × 251¹
LCM(9774,9789) = 31892562