What is the Least Common Multiple of 9428 and 9438?

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 9428 and 9438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9428 and 9438, than apply into the LCM equation.

GCF(9428,9438) = 2
LCM(9428,9438) = ( 9428 × 9438) / 2
LCM(9428,9438) = 88981464 / 2
LCM(9428,9438) = 44490732

Least Common Multiple (LCM) of 9428 and 9438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9428 and 9438. First we will calculate the prime factors of 9428 and 9438.

Prime Factorization of 9428

Prime Factorization of 9438

Now multiplying the highest exponent prime factors to calculate the LCM of 9428 and 9438.

LCM(9428,9438) = 2² × 2357¹ × 3¹ × 11² × 13¹
LCM(9428,9438) = 44490732