What is the Least Common Multiple of 66834 and 66849?

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 66834 and 66849 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66834 and 66849, than apply into the LCM equation.

GCF(66834,66849) = 3
LCM(66834,66849) = ( 66834 × 66849) / 3
LCM(66834,66849) = 4467786066 / 3
LCM(66834,66849) = 1489262022

Least Common Multiple (LCM) of 66834 and 66849 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66834 and 66849. First we will calculate the prime factors of 66834 and 66849.

Prime Factorization of 66834

Prime Factorization of 66849

Now multiplying the highest exponent prime factors to calculate the LCM of 66834 and 66849.

LCM(66834,66849) = 2¹ × 3² × 47¹ × 79¹ × 22283¹
LCM(66834,66849) = 1489262022