What is the Least Common Multiple of 9468 and 9472?

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 9468 and 9472 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9468 and 9472, than apply into the LCM equation.

GCF(9468,9472) = 4
LCM(9468,9472) = ( 9468 × 9472) / 4
LCM(9468,9472) = 89680896 / 4
LCM(9468,9472) = 22420224

Least Common Multiple (LCM) of 9468 and 9472 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9468 and 9472. First we will calculate the prime factors of 9468 and 9472.

Prime Factorization of 9468

Prime Factorization of 9472

Now multiplying the highest exponent prime factors to calculate the LCM of 9468 and 9472.

LCM(9468,9472) = 2⁸ × 3² × 263¹ × 37¹
LCM(9468,9472) = 22420224