What is the Least Common Multiple of 9775 and 9785?

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 9775 and 9785 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9775 and 9785, than apply into the LCM equation.

GCF(9775,9785) = 5
LCM(9775,9785) = ( 9775 × 9785) / 5
LCM(9775,9785) = 95648375 / 5
LCM(9775,9785) = 19129675

Least Common Multiple (LCM) of 9775 and 9785 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9775 and 9785. First we will calculate the prime factors of 9775 and 9785.

Prime Factorization of 9775

Prime Factorization of 9785

Now multiplying the highest exponent prime factors to calculate the LCM of 9775 and 9785.

LCM(9775,9785) = 5² × 17¹ × 23¹ × 19¹ × 103¹
LCM(9775,9785) = 19129675