What is the Least Common Multiple of 66834 and 66848?

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 66848 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 66848, than apply into the LCM equation.

GCF(66834,66848) = 2
LCM(66834,66848) = ( 66834 × 66848) / 2
LCM(66834,66848) = 4467719232 / 2
LCM(66834,66848) = 2233859616

Least Common Multiple (LCM) of 66834 and 66848 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66834 and 66848. First we will calculate the prime factors of 66834 and 66848.

Prime Factorization of 66834

Prime Factorization of 66848

Now multiplying the highest exponent prime factors to calculate the LCM of 66834 and 66848.

LCM(66834,66848) = 2⁵ × 3² × 47¹ × 79¹ × 2089¹
LCM(66834,66848) = 2233859616