What is the Least Common Multiple of 22896 and 22904?

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 22896 and 22904 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22896 and 22904, than apply into the LCM equation.

GCF(22896,22904) = 8
LCM(22896,22904) = ( 22896 × 22904) / 8
LCM(22896,22904) = 524409984 / 8
LCM(22896,22904) = 65551248

Least Common Multiple (LCM) of 22896 and 22904 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22896 and 22904. First we will calculate the prime factors of 22896 and 22904.

Prime Factorization of 22896

Prime Factorization of 22904

Now multiplying the highest exponent prime factors to calculate the LCM of 22896 and 22904.

LCM(22896,22904) = 2⁴ × 3³ × 53¹ × 7¹ × 409¹
LCM(22896,22904) = 65551248