What is the Least Common Multiple of 66256 and 66272?

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 66256 and 66272 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66256 and 66272, than apply into the LCM equation.

GCF(66256,66272) = 16
LCM(66256,66272) = ( 66256 × 66272) / 16
LCM(66256,66272) = 4390917632 / 16
LCM(66256,66272) = 274432352

Least Common Multiple (LCM) of 66256 and 66272 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66256 and 66272. First we will calculate the prime factors of 66256 and 66272.

Prime Factorization of 66256

Prime Factorization of 66272

Now multiplying the highest exponent prime factors to calculate the LCM of 66256 and 66272.

LCM(66256,66272) = 2⁵ × 41¹ × 101¹ × 19¹ × 109¹
LCM(66256,66272) = 274432352