What is the Least Common Multiple of 40464 and 40469?

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 40464 and 40469 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40464 and 40469, than apply into the LCM equation.

GCF(40464,40469) = 1
LCM(40464,40469) = ( 40464 × 40469) / 1
LCM(40464,40469) = 1637537616 / 1
LCM(40464,40469) = 1637537616

Least Common Multiple (LCM) of 40464 and 40469 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40464 and 40469. First we will calculate the prime factors of 40464 and 40469.

Prime Factorization of 40464

Prime Factorization of 40469

Now multiplying the highest exponent prime factors to calculate the LCM of 40464 and 40469.

LCM(40464,40469) = 2⁴ × 3² × 281¹ × 11¹ × 13¹ × 283¹
LCM(40464,40469) = 1637537616