What is the Least Common Multiple of 30891 and 30905?

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 30891 and 30905 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30891 and 30905, than apply into the LCM equation.

GCF(30891,30905) = 7
LCM(30891,30905) = ( 30891 × 30905) / 7
LCM(30891,30905) = 954686355 / 7
LCM(30891,30905) = 136383765

Least Common Multiple (LCM) of 30891 and 30905 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30891 and 30905. First we will calculate the prime factors of 30891 and 30905.

Prime Factorization of 30891

Prime Factorization of 30905

Now multiplying the highest exponent prime factors to calculate the LCM of 30891 and 30905.

LCM(30891,30905) = 3¹ × 7¹ × 1471¹ × 5¹ × 883¹
LCM(30891,30905) = 136383765