What is the Least Common Multiple of 66208 and 66216?

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 66216 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 66216, than apply into the LCM equation.

GCF(66208,66216) = 8
LCM(66208,66216) = ( 66208 × 66216) / 8
LCM(66208,66216) = 4384028928 / 8
LCM(66208,66216) = 548003616

Least Common Multiple (LCM) of 66208 and 66216 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66208 and 66216. First we will calculate the prime factors of 66208 and 66216.

Prime Factorization of 66208

Prime Factorization of 66216

Now multiplying the highest exponent prime factors to calculate the LCM of 66208 and 66216.

LCM(66208,66216) = 2⁵ × 2069¹ × 3¹ × 31¹ × 89¹
LCM(66208,66216) = 548003616