What is the Least Common Multiple of 22884 and 22897?

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 22884 and 22897 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22884 and 22897, than apply into the LCM equation.

GCF(22884,22897) = 1
LCM(22884,22897) = ( 22884 × 22897) / 1
LCM(22884,22897) = 523974948 / 1
LCM(22884,22897) = 523974948

Least Common Multiple (LCM) of 22884 and 22897 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22884 and 22897. First we will calculate the prime factors of 22884 and 22897.

Prime Factorization of 22884

Prime Factorization of 22897

Now multiplying the highest exponent prime factors to calculate the LCM of 22884 and 22897.

LCM(22884,22897) = 2² × 3¹ × 1907¹ × 7¹ × 3271¹
LCM(22884,22897) = 523974948