What is the Least Common Multiple of 40240 and 40248?

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 40248 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 40248, than apply into the LCM equation.

GCF(40240,40248) = 8
LCM(40240,40248) = ( 40240 × 40248) / 8
LCM(40240,40248) = 1619579520 / 8
LCM(40240,40248) = 202447440

Least Common Multiple (LCM) of 40240 and 40248 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40240 and 40248. First we will calculate the prime factors of 40240 and 40248.

Prime Factorization of 40240

Prime Factorization of 40248

Now multiplying the highest exponent prime factors to calculate the LCM of 40240 and 40248.

LCM(40240,40248) = 2⁴ × 5¹ × 503¹ × 3² × 13¹ × 43¹
LCM(40240,40248) = 202447440