What is the Least Common Multiple of 18228 and 18235?

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 18228 and 18235 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18228 and 18235, than apply into the LCM equation.

GCF(18228,18235) = 7
LCM(18228,18235) = ( 18228 × 18235) / 7
LCM(18228,18235) = 332387580 / 7
LCM(18228,18235) = 47483940

Least Common Multiple (LCM) of 18228 and 18235 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18228 and 18235. First we will calculate the prime factors of 18228 and 18235.

Prime Factorization of 18228

Prime Factorization of 18235

Now multiplying the highest exponent prime factors to calculate the LCM of 18228 and 18235.

LCM(18228,18235) = 2² × 3¹ × 7² × 31¹ × 5¹ × 521¹
LCM(18228,18235) = 47483940