What is the Least Common Multiple of 40240 and 40256?

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 40240 and 40256 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40240 and 40256, than apply into the LCM equation.

GCF(40240,40256) = 16
LCM(40240,40256) = ( 40240 × 40256) / 16
LCM(40240,40256) = 1619901440 / 16
LCM(40240,40256) = 101243840

Least Common Multiple (LCM) of 40240 and 40256 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40240 and 40256. First we will calculate the prime factors of 40240 and 40256.

Prime Factorization of 40240

Prime Factorization of 40256

Now multiplying the highest exponent prime factors to calculate the LCM of 40240 and 40256.

LCM(40240,40256) = 2⁶ × 5¹ × 503¹ × 17¹ × 37¹
LCM(40240,40256) = 101243840