What is the Least Common Multiple of 9285 and 9305?

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 9285 and 9305 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9285 and 9305, than apply into the LCM equation.

GCF(9285,9305) = 5
LCM(9285,9305) = ( 9285 × 9305) / 5
LCM(9285,9305) = 86396925 / 5
LCM(9285,9305) = 17279385

Least Common Multiple (LCM) of 9285 and 9305 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9285 and 9305. First we will calculate the prime factors of 9285 and 9305.

Prime Factorization of 9285

Prime Factorization of 9305

Now multiplying the highest exponent prime factors to calculate the LCM of 9285 and 9305.

LCM(9285,9305) = 3¹ × 5¹ × 619¹ × 1861¹
LCM(9285,9305) = 17279385