What is the Least Common Multiple of 89775 and 89789?

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 89775 and 89789 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89775 and 89789, than apply into the LCM equation.

GCF(89775,89789) = 7
LCM(89775,89789) = ( 89775 × 89789) / 7
LCM(89775,89789) = 8060807475 / 7
LCM(89775,89789) = 1151543925

Least Common Multiple (LCM) of 89775 and 89789 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89775 and 89789. First we will calculate the prime factors of 89775 and 89789.

Prime Factorization of 89775

Prime Factorization of 89789

Now multiplying the highest exponent prime factors to calculate the LCM of 89775 and 89789.

LCM(89775,89789) = 3³ × 5² × 7¹ × 19¹ × 101¹ × 127¹
LCM(89775,89789) = 1151543925