What is the Least Common Multiple of 22890 and 22896?

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 22890 and 22896 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22890 and 22896, than apply into the LCM equation.

GCF(22890,22896) = 6
LCM(22890,22896) = ( 22890 × 22896) / 6
LCM(22890,22896) = 524089440 / 6
LCM(22890,22896) = 87348240

Least Common Multiple (LCM) of 22890 and 22896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22890 and 22896. First we will calculate the prime factors of 22890 and 22896.

Prime Factorization of 22890

Prime Factorization of 22896

Now multiplying the highest exponent prime factors to calculate the LCM of 22890 and 22896.

LCM(22890,22896) = 2⁴ × 3³ × 5¹ × 7¹ × 109¹ × 53¹
LCM(22890,22896) = 87348240