What is the Least Common Multiple of 66825 and 66839?

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 66825 and 66839 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66825 and 66839, than apply into the LCM equation.

GCF(66825,66839) = 1
LCM(66825,66839) = ( 66825 × 66839) / 1
LCM(66825,66839) = 4466516175 / 1
LCM(66825,66839) = 4466516175

Least Common Multiple (LCM) of 66825 and 66839 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66825 and 66839. First we will calculate the prime factors of 66825 and 66839.

Prime Factorization of 66825

Prime Factorization of 66839

Now multiplying the highest exponent prime factors to calculate the LCM of 66825 and 66839.

LCM(66825,66839) = 3⁵ × 5² × 11¹ × 89¹ × 751¹
LCM(66825,66839) = 4466516175