What is the Least Common Multiple of 66208 and 66228?

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 66208 and 66228 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66208 and 66228, than apply into the LCM equation.

GCF(66208,66228) = 4
LCM(66208,66228) = ( 66208 × 66228) / 4
LCM(66208,66228) = 4384823424 / 4
LCM(66208,66228) = 1096205856

Least Common Multiple (LCM) of 66208 and 66228 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66208 and 66228. First we will calculate the prime factors of 66208 and 66228.

Prime Factorization of 66208

Prime Factorization of 66228

Now multiplying the highest exponent prime factors to calculate the LCM of 66208 and 66228.

LCM(66208,66228) = 2⁵ × 2069¹ × 3¹ × 5519¹
LCM(66208,66228) = 1096205856