What is the Least Common Multiple of 34809 and 34827?

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 34809 and 34827 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34809 and 34827, than apply into the LCM equation.

GCF(34809,34827) = 3
LCM(34809,34827) = ( 34809 × 34827) / 3
LCM(34809,34827) = 1212293043 / 3
LCM(34809,34827) = 404097681

Least Common Multiple (LCM) of 34809 and 34827 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34809 and 34827. First we will calculate the prime factors of 34809 and 34827.

Prime Factorization of 34809

Prime Factorization of 34827

Now multiplying the highest exponent prime factors to calculate the LCM of 34809 and 34827.

LCM(34809,34827) = 3¹ × 41¹ × 283¹ × 13¹ × 19¹ × 47¹
LCM(34809,34827) = 404097681