What is the Least Common Multiple of 40240 and 40250?

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 40250 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 40250, than apply into the LCM equation.

GCF(40240,40250) = 10
LCM(40240,40250) = ( 40240 × 40250) / 10
LCM(40240,40250) = 1619660000 / 10
LCM(40240,40250) = 161966000

Least Common Multiple (LCM) of 40240 and 40250 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40240 and 40250. First we will calculate the prime factors of 40240 and 40250.

Prime Factorization of 40240

Prime Factorization of 40250

Now multiplying the highest exponent prime factors to calculate the LCM of 40240 and 40250.

LCM(40240,40250) = 2⁴ × 5³ × 503¹ × 7¹ × 23¹
LCM(40240,40250) = 161966000