What is the Least Common Multiple of 66304 and 66308?

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 66304 and 66308 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66304 and 66308, than apply into the LCM equation.

GCF(66304,66308) = 4
LCM(66304,66308) = ( 66304 × 66308) / 4
LCM(66304,66308) = 4396485632 / 4
LCM(66304,66308) = 1099121408

Least Common Multiple (LCM) of 66304 and 66308 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66304 and 66308. First we will calculate the prime factors of 66304 and 66308.

Prime Factorization of 66304

Prime Factorization of 66308

Now multiplying the highest exponent prime factors to calculate the LCM of 66304 and 66308.

LCM(66304,66308) = 2⁸ × 7¹ × 37¹ × 11² × 137¹
LCM(66304,66308) = 1099121408