What is the Least Common Multiple of 9444 and 9460?

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 9444 and 9460 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9444 and 9460, than apply into the LCM equation.

GCF(9444,9460) = 4
LCM(9444,9460) = ( 9444 × 9460) / 4
LCM(9444,9460) = 89340240 / 4
LCM(9444,9460) = 22335060

Least Common Multiple (LCM) of 9444 and 9460 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9444 and 9460. First we will calculate the prime factors of 9444 and 9460.

Prime Factorization of 9444

Prime Factorization of 9460

Now multiplying the highest exponent prime factors to calculate the LCM of 9444 and 9460.

LCM(9444,9460) = 2² × 3¹ × 787¹ × 5¹ × 11¹ × 43¹
LCM(9444,9460) = 22335060