What is the Least Common Multiple of 9234 and 9238?

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 9234 and 9238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9234 and 9238, than apply into the LCM equation.

GCF(9234,9238) = 2
LCM(9234,9238) = ( 9234 × 9238) / 2
LCM(9234,9238) = 85303692 / 2
LCM(9234,9238) = 42651846

Least Common Multiple (LCM) of 9234 and 9238 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9234 and 9238. First we will calculate the prime factors of 9234 and 9238.

Prime Factorization of 9234

Prime Factorization of 9238

Now multiplying the highest exponent prime factors to calculate the LCM of 9234 and 9238.

LCM(9234,9238) = 2¹ × 3⁵ × 19¹ × 31¹ × 149¹
LCM(9234,9238) = 42651846