What is the Least Common Multiple of 28889 and 28897?

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 28889 and 28897 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28889 and 28897, than apply into the LCM equation.

GCF(28889,28897) = 1
LCM(28889,28897) = ( 28889 × 28897) / 1
LCM(28889,28897) = 834805433 / 1
LCM(28889,28897) = 834805433

Least Common Multiple (LCM) of 28889 and 28897 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28889 and 28897. First we will calculate the prime factors of 28889 and 28897.

Prime Factorization of 28889

Prime Factorization of 28897

Now multiplying the highest exponent prime factors to calculate the LCM of 28889 and 28897.

LCM(28889,28897) = 7¹ × 4127¹ × 11¹ × 37¹ × 71¹
LCM(28889,28897) = 834805433