What is the Least Common Multiple of 75440 and 75452?

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 75440 and 75452 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75440 and 75452, than apply into the LCM equation.

GCF(75440,75452) = 4
LCM(75440,75452) = ( 75440 × 75452) / 4
LCM(75440,75452) = 5692098880 / 4
LCM(75440,75452) = 1423024720

Least Common Multiple (LCM) of 75440 and 75452 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75440 and 75452. First we will calculate the prime factors of 75440 and 75452.

Prime Factorization of 75440

Prime Factorization of 75452

Now multiplying the highest exponent prime factors to calculate the LCM of 75440 and 75452.

LCM(75440,75452) = 2⁴ × 5¹ × 23¹ × 41¹ × 13¹ × 1451¹
LCM(75440,75452) = 1423024720