What is the Least Common Multiple of 30840 and 30859?

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 30840 and 30859 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30840 and 30859, than apply into the LCM equation.

GCF(30840,30859) = 1
LCM(30840,30859) = ( 30840 × 30859) / 1
LCM(30840,30859) = 951691560 / 1
LCM(30840,30859) = 951691560

Least Common Multiple (LCM) of 30840 and 30859 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30840 and 30859. First we will calculate the prime factors of 30840 and 30859.

Prime Factorization of 30840

Prime Factorization of 30859

Now multiplying the highest exponent prime factors to calculate the LCM of 30840 and 30859.

LCM(30840,30859) = 2³ × 3¹ × 5¹ × 257¹ × 30859¹
LCM(30840,30859) = 951691560