What is the Least Common Multiple of 66240 and 66256?

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 66240 and 66256 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66240 and 66256, than apply into the LCM equation.

GCF(66240,66256) = 16
LCM(66240,66256) = ( 66240 × 66256) / 16
LCM(66240,66256) = 4388797440 / 16
LCM(66240,66256) = 274299840

Least Common Multiple (LCM) of 66240 and 66256 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66240 and 66256. First we will calculate the prime factors of 66240 and 66256.

Prime Factorization of 66240

Prime Factorization of 66256

Now multiplying the highest exponent prime factors to calculate the LCM of 66240 and 66256.

LCM(66240,66256) = 2⁶ × 3² × 5¹ × 23¹ × 41¹ × 101¹
LCM(66240,66256) = 274299840