What is the Least Common Multiple of 9228 and 9235?

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 9228 and 9235 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9228 and 9235, than apply into the LCM equation.

GCF(9228,9235) = 1
LCM(9228,9235) = ( 9228 × 9235) / 1
LCM(9228,9235) = 85220580 / 1
LCM(9228,9235) = 85220580

Least Common Multiple (LCM) of 9228 and 9235 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9228 and 9235. First we will calculate the prime factors of 9228 and 9235.

Prime Factorization of 9228

Prime Factorization of 9235

Now multiplying the highest exponent prime factors to calculate the LCM of 9228 and 9235.

LCM(9228,9235) = 2² × 3¹ × 769¹ × 5¹ × 1847¹
LCM(9228,9235) = 85220580