What is the Least Common Multiple of 29889 and 29897?

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 29889 and 29897 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29889 and 29897, than apply into the LCM equation.

GCF(29889,29897) = 1
LCM(29889,29897) = ( 29889 × 29897) / 1
LCM(29889,29897) = 893591433 / 1
LCM(29889,29897) = 893591433

Least Common Multiple (LCM) of 29889 and 29897 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29889 and 29897. First we will calculate the prime factors of 29889 and 29897.

Prime Factorization of 29889

Prime Factorization of 29897

Now multiplying the highest exponent prime factors to calculate the LCM of 29889 and 29897.

LCM(29889,29897) = 3⁶ × 41¹ × 7¹ × 4271¹
LCM(29889,29897) = 893591433