What is the Least Common Multiple of 66824 and 66836?

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 66824 and 66836 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66824 and 66836, than apply into the LCM equation.

GCF(66824,66836) = 4
LCM(66824,66836) = ( 66824 × 66836) / 4
LCM(66824,66836) = 4466248864 / 4
LCM(66824,66836) = 1116562216

Least Common Multiple (LCM) of 66824 and 66836 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66824 and 66836. First we will calculate the prime factors of 66824 and 66836.

Prime Factorization of 66824

Prime Factorization of 66836

Now multiplying the highest exponent prime factors to calculate the LCM of 66824 and 66836.

LCM(66824,66836) = 2³ × 8353¹ × 7² × 11¹ × 31¹
LCM(66824,66836) = 1116562216