What is the Least Common Multiple of 40268 and 40280?

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 40268 and 40280 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40268 and 40280, than apply into the LCM equation.

GCF(40268,40280) = 4
LCM(40268,40280) = ( 40268 × 40280) / 4
LCM(40268,40280) = 1621995040 / 4
LCM(40268,40280) = 405498760

Least Common Multiple (LCM) of 40268 and 40280 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40268 and 40280. First we will calculate the prime factors of 40268 and 40280.

Prime Factorization of 40268

Prime Factorization of 40280

Now multiplying the highest exponent prime factors to calculate the LCM of 40268 and 40280.

LCM(40268,40280) = 2³ × 10067¹ × 5¹ × 19¹ × 53¹
LCM(40268,40280) = 405498760