What is the Least Common Multiple of 18774 and 18789?

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 18774 and 18789 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18774 and 18789, than apply into the LCM equation.

GCF(18774,18789) = 3
LCM(18774,18789) = ( 18774 × 18789) / 3
LCM(18774,18789) = 352744686 / 3
LCM(18774,18789) = 117581562

Least Common Multiple (LCM) of 18774 and 18789 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18774 and 18789. First we will calculate the prime factors of 18774 and 18789.

Prime Factorization of 18774

Prime Factorization of 18789

Now multiplying the highest exponent prime factors to calculate the LCM of 18774 and 18789.

LCM(18774,18789) = 2¹ × 3² × 7¹ × 149¹ × 6263¹
LCM(18774,18789) = 117581562