What is the Least Common Multiple of 8774 and 8789?

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 8774 and 8789 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8774 and 8789, than apply into the LCM equation.

GCF(8774,8789) = 1
LCM(8774,8789) = ( 8774 × 8789) / 1
LCM(8774,8789) = 77114686 / 1
LCM(8774,8789) = 77114686

Least Common Multiple (LCM) of 8774 and 8789 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8774 and 8789. First we will calculate the prime factors of 8774 and 8789.

Prime Factorization of 8774

Prime Factorization of 8789

Now multiplying the highest exponent prime factors to calculate the LCM of 8774 and 8789.

LCM(8774,8789) = 2¹ × 41¹ × 107¹ × 11¹ × 17¹ × 47¹
LCM(8774,8789) = 77114686