What is the Least Common Multiple of 40250 and 40268?

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 40250 and 40268 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40250 and 40268, than apply into the LCM equation.

GCF(40250,40268) = 2
LCM(40250,40268) = ( 40250 × 40268) / 2
LCM(40250,40268) = 1620787000 / 2
LCM(40250,40268) = 810393500

Least Common Multiple (LCM) of 40250 and 40268 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40250 and 40268. First we will calculate the prime factors of 40250 and 40268.

Prime Factorization of 40250

Prime Factorization of 40268

Now multiplying the highest exponent prime factors to calculate the LCM of 40250 and 40268.

LCM(40250,40268) = 2² × 5³ × 7¹ × 23¹ × 10067¹
LCM(40250,40268) = 810393500